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	6216s	Isogeny class
Conductor	6216	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	88316928 = 210 · 32 · 7 · 372	Discriminant
Eigenvalues	2- 3-  2 7-  2 -4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-112,-112]	[a1,a2,a3,a4,a6]
j	153091012/86247	j-invariant
L	3.1577981993328	L(r)(E,1)/r!
Ω	1.5788990996664	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	12432b2 49728bc2 18648l2 43512v2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6216s2

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	-4	-2	0	-8	6	8	+	8	6	-4	14	-4	-4	8	10	14	10	0	10	12

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Quadratic twists for elliptic curve 6216s2

-4	8	-3	-7
12432b2	49728bc2	18648l2	43512v2

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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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