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	6960i	Isogeny class
Conductor	6960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-32591508480 = -1 · 210 · 32 · 5 · 294	Discriminant
Eigenvalues	2+ 3+ 5-  0  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,680,5152]	[a1,a2,a3,a4,a6]
Generators	[-6:545:8]	Generators of the group modulo torsion
j	33908741276/31827645	j-invariant
L	3.6804001695604	L(r)(E,1)/r!
Ω	0.76521011144698	Real period
R	4.8096596144044	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3480k4 27840df3 20880g4 34800bd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960i4

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

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Quadratic twists for elliptic curve 6960i4

-4	8	-3	5
3480k4	27840df3	20880g4	34800bd3

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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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