Cremona's table of elliptic curves

6216 = 2³ · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 37+	Signs for the Atkin-Lehner involutions
Class	6216c	Isogeny class
Conductor	6216	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	350529887232 = 210 · 36 · 73 · 372	Discriminant
Eigenvalues	2+ 3+ -2 7+ -2  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6984,225180]	[a1,a2,a3,a4,a6]
Generators	[18:324:1]	Generators of the group modulo torsion
j	36795832252708/342314343	j-invariant
L	2.732960071388	L(r)(E,1)/r!
Ω	0.96288286342609	Real period
R	1.4191550058663	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	12432q2 49728bv2 18648x2 43512j2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6216c2

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	0	2	4	0	2	-4	+	-8	2	12	6	12	-8	0	-2	-2	6	0	6	-8

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Quadratic twists for elliptic curve 6216c2

-4	8	-3	-7
12432q2	49728bv2	18648x2	43512j2

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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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