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	6435g	Isogeny class
Conductor	6435	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-6966305775 = -1 · 311 · 52 · 112 · 13	Discriminant
Eigenvalues	-1 3- 5+ -2 11+ 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,427,-2244]	[a1,a2,a3,a4,a6]
Generators	[8:36:1]	Generators of the group modulo torsion
j	11836763639/9555975	j-invariant
L	2.1142423743025	L(r)(E,1)/r!
Ω	0.73692485336064	Real period
R	0.71725168606434	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	102960dw1 2145c1 32175g1 70785j1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6435g1

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

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Quadratic twists for elliptic curve 6435g1

-4	-3	5	-11	13
102960dw1	2145c1	32175g1	70785j1	83655bb1

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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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