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	1176g	Isogeny class
Conductor	1176	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	28449792 = 210 · 34 · 73	Discriminant
Eigenvalues	2- 3+  0 7-  0 -4 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-128,540]	[a1,a2,a3,a4,a6]
Generators	[-2:28:1]	Generators of the group modulo torsion
j	665500/81	j-invariant
L	2.2517830789797	L(r)(E,1)/r!
Ω	2.0287142597755	Real period
R	0.55497788023359	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2352g2 9408y2 3528i2 29400bl2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1176g2

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	-4	-4	4	4	2	-8	-6	-12	4	8	6	-12	-4	-4	-12	-8	-16	4	-4	-16

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Quadratic twists for elliptic curve 1176g2

-4	8	-3	5	-7
2352g2	9408y2	3528i2	29400bl2	1176h2

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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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