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	6960bf	Isogeny class
Conductor	6960	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	130366033920 = 212 · 32 · 5 · 294	Discriminant
Eigenvalues	2- 3+ 5- -4  4  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4120,101680]	[a1,a2,a3,a4,a6]
j	1888690601881/31827645	j-invariant
L	2.0844856824001	L(r)(E,1)/r!
Ω	1.0422428412	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	435c3 27840dm4 20880bx3 34800dk4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960bf3

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

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Quadratic twists for elliptic curve 6960bf3

-4	8	-3	5
435c3	27840dm4	20880bx3	34800dk4

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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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