Cremona's table of elliptic curves

6435 = 3² · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 11+ 13-	Signs for the Atkin-Lehner involutions
Class	6435f	Isogeny class
Conductor	6435	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	159744	Modular degree for the optimal curve
Δ	156096851625 = 38 · 53 · 114 · 13	Discriminant
Eigenvalues	1 3- 5+  0 11+ 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-40148370,-97905135425]	[a1,a2,a3,a4,a6]
Generators	[6174995233135020133838083976837066299067990502:-537932276943926738187567391724726042364543865043:529388792567526437034789436995746009424329]	Generators of the group modulo torsion
j	9817478153357586761106721/214124625	j-invariant
L	4.4194090907078	L(r)(E,1)/r!
Ω	0.059976701118291	Real period
R	73.685431314261	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	102960ds1 2145e1 32175i1 70785n1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6435f1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
1	-	+	0	+	-	-2	4	0	2	0	6	6	4	8	-6	-12	-2	-4	-8	-6	-16	-12	6	-14

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Quadratic twists for elliptic curve 6435f1

-4	-3	5	-11	13
102960ds1	2145e1	32175i1	70785n1	83655bf1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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