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	6216u	Isogeny class
Conductor	6216	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-204475767552 = -1 · 28 · 35 · 74 · 372	Discriminant
Eigenvalues	2- 3-  0 7- -4  2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,692,-20368]	[a1,a2,a3,a4,a6]
Generators	[26:126:1]	Generators of the group modulo torsion
j	142946750000/798733467	j-invariant
L	4.8049704217926	L(r)(E,1)/r!
Ω	0.50258092762171	Real period
R	0.23901476148978	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	12432d2 49728o2 18648o2 43512z2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6216u2

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
-	-	0	-	-4	2	-4	4	-6	-4	4	-	6	0	0	-14	-6	6	-12	-4	6	-16	0	-16	14

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Quadratic twists for elliptic curve 6216u2

-4	8	-3	-7
12432d2	49728o2	18648o2	43512z2

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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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