Cremona's table of elliptic curves

6960 = 2⁴ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 29-	Signs for the Atkin-Lehner involutions
Class	6960j	Isogeny class
Conductor	6960	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	206243139600000000 = 210 · 36 · 58 · 294	Discriminant
Eigenvalues	2+ 3+ 5-  0  4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-190760,-23409408]	[a1,a2,a3,a4,a6]
Generators	[2294:107730:1]	Generators of the group modulo torsion
j	749700798525056164/201409316015625	j-invariant
L	3.8103105122362	L(r)(E,1)/r!
Ω	0.23303077483074	Real period
R	4.087776083442	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	3480s3 27840dh4 20880i3 34800be4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960j3

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	-6	-4	8	-	-8	-2	2	4	8	-10	4	-10	4	-8	-6	-8	-4	-14	2

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Quadratic twists for elliptic curve 6960j3

-4	8	-3	5
3480s3	27840dh4	20880i3	34800be4

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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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