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	6216i	Isogeny class
Conductor	6216	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	7573176576 = 28 · 32 · 74 · 372	Discriminant
Eigenvalues	2+ 3-  2 7+ -4 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-652,4640]	[a1,a2,a3,a4,a6]
Generators	[10:495:8]	Generators of the group modulo torsion
j	119920231888/29582721	j-invariant
L	5.0515407586244	L(r)(E,1)/r!
Ω	1.2375763014818	Real period
R	4.0818014635347	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12432f2 49728f2 18648bb2 43512d2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6216i2

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

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Quadratic twists for elliptic curve 6216i2

-4	8	-3	-7
12432f2	49728f2	18648bb2	43512d2

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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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