Cremona's table of elliptic curves

6396 = 2² · 3 · 13 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 13+ 41+	Signs for the Atkin-Lehner involutions
Class	6396c	Isogeny class
Conductor	6396	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-2545440995539742976 = -1 · 28 · 36 · 136 · 414	Discriminant
Eigenvalues	2- 3- -2  2 -2 13+ -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1227164,528432996]	[a1,a2,a3,a4,a6]
Generators	[400:10086:1]	Generators of the group modulo torsion
j	-798347408346062882512/9943128888827121	j-invariant
L	4.4379006008098	L(r)(E,1)/r!
Ω	0.25784028748668	Real period
R	0.9562122187405	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	25584l2 102336n2 19188m2 83148k2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 6396c2

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
-	-	-2	2	-2	+	-2	6	-8	-6	10	2	+	12	-2	-10	2	-2	-2	2	-14	-8	-18	-2	-6

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Quadratic twists for elliptic curve 6396c2

-4	8	-3	13
25584l2	102336n2	19188m2	83148k2

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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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