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	6960bg	Isogeny class
Conductor	6960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-176569632000 = -1 · 28 · 38 · 53 · 292	Discriminant
Eigenvalues	2- 3- 5+  0  6  6  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-116,20184]	[a1,a2,a3,a4,a6]
j	-680136784/689725125	j-invariant
L	3.2755639222562	L(r)(E,1)/r!
Ω	0.81889098056405	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	1740a2 27840cv2 20880ch2 34800bx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6960bg2

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	6	6	4	-2	8	-	2	0	-2	0	0	-14	-4	6	12	12	-16	2	-12	-2	-12

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Quadratic twists for elliptic curve 6960bg2

-4	8	-3	5
1740a2	27840cv2	20880ch2	34800bx2

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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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