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	6435h	Isogeny class
Conductor	6435	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1.6324743246396E+19	Discriminant
Eigenvalues	-1 3- 5+  4 11+ 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-737978,147675462]	[a1,a2,a3,a4,a6]
Generators	[-552:19938:1]	Generators of the group modulo torsion
j	60971359344939402841/22393337786551875	j-invariant
L	2.7054538421822	L(r)(E,1)/r!
Ω	0.20128609164814	Real period
R	0.84005240377945	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	102960dy4 2145d3 32175h4 70785l4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6435h3

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	-	+	4	+	-	-6	0	8	-2	0	-10	2	8	-8	-6	-12	-10	4	-16	2	4	4	-2	18

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Quadratic twists for elliptic curve 6435h3

-4	-3	5	-11	13
102960dy4	2145d3	32175h4	70785l4	83655bd4

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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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