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	6960b	Isogeny class
Conductor	6960	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	2528651520 = 28 · 34 · 5 · 293	Discriminant
Eigenvalues	2+ 3+ 5+  2 -6  6 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-40636,-3139424]	[a1,a2,a3,a4,a6]
Generators	[671905:7904268:2197]	Generators of the group modulo torsion
j	28988603169478864/9877545	j-invariant
L	3.3881248553124	L(r)(E,1)/r!
Ω	0.33625669109911	Real period
R	10.076007243864	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	3480e1 27840eh1 20880y1 34800z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960b1

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

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Quadratic twists for elliptic curve 6960b1

-4	8	-3	5
3480e1	27840eh1	20880y1	34800z1

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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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