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	6435k	Isogeny class
Conductor	6435	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	60984495 = 38 · 5 · 11 · 132	Discriminant
Eigenvalues	-1 3- 5+  2 11- 13- -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2633,-51334]	[a1,a2,a3,a4,a6]
j	2768178670921/83655	j-invariant
L	1.3330011066817	L(r)(E,1)/r!
Ω	0.66650055334087	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	102960dg2 2145f2 32175o2 70785k2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6435k2

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	-	-	-2	8	4	0	-2	8	2	8	8	-8	0	6	8	0	-6	16	-16	-6	-16

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Quadratic twists for elliptic curve 6435k2

-4	-3	5	-11	13
102960dg2	2145f2	32175o2	70785k2	83655u2

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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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