Cremona's table of elliptic curves

1176 = 2³ · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	1176i	Isogeny class
Conductor	1176	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1580841142272 = -1 · 211 · 38 · 76	Discriminant
Eigenvalues	2- 3-  2 7-  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,768,60192]	[a1,a2,a3,a4,a6]
j	207646/6561	j-invariant
L	2.5486149779274	L(r)(E,1)/r!
Ω	0.63715374448186	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	2352c6 9408q6 3528l6 29400n5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1176i6

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

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Quadratic twists for elliptic curve 1176i6

-4	8	-3	5	-7
2352c6	9408q6	3528l6	29400n5	24a6

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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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