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	6960m	Isogeny class
Conductor	6960	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-6130890000000000 = -1 · 210 · 36 · 510 · 292	Discriminant
Eigenvalues	2+ 3- 5+  2 -6  6 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-14656,-3833500]	[a1,a2,a3,a4,a6]
j	-340016315288836/5987197265625	j-invariant
L	2.191223398194	L(r)(E,1)/r!
Ω	0.1826019498495	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	3480m2 27840de2 20880z2 34800d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960m2

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

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Quadratic twists for elliptic curve 6960m2

-4	8	-3	5
3480m2	27840de2	20880z2	34800d2

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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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