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	6960t	Isogeny class
Conductor	6960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-21727672320 = -1 · 211 · 3 · 5 · 294	Discriminant
Eigenvalues	2+ 3- 5-  4 -4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,360,6708]	[a1,a2,a3,a4,a6]
j	2512432078/10609215	j-invariant
L	3.4538499163029	L(r)(E,1)/r!
Ω	0.86346247907573	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	3480c4 27840cj3 20880l4 34800l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960t4

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	-4	2	-2	0	8	-	0	-6	-2	-4	8	14	-12	10	4	8	-2	8	0	-18	14

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Quadratic twists for elliptic curve 6960t4

-4	8	-3	5
3480c4	27840cj3	20880l4	34800l3

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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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