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	6960ba	Isogeny class
Conductor	6960	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1461837793689600 = -1 · 215 · 3 · 52 · 296	Discriminant
Eigenvalues	2- 3+ 5-  4  0 -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-38600,3463152]	[a1,a2,a3,a4,a6]
Generators	[58:1190:1]	Generators of the group modulo torsion
j	-1552876541267401/356893992600	j-invariant
L	4.1284085432357	L(r)(E,1)/r!
Ω	0.45674777187049	Real period
R	4.5193526903578	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	870c4 27840dt4 20880cd4 34800db4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960ba4

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

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Quadratic twists for elliptic curve 6960ba4

-4	8	-3	5
870c4	27840dt4	20880cd4	34800db4

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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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