Cremona's table of elliptic curves

1180 = 2² · 5 · 59

Field	Data	Notes
Atkin-Lehner	2- 5+ 59+	Signs for the Atkin-Lehner involutions
Class	1180a	Isogeny class
Conductor	1180	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	216	Modular degree for the optimal curve
Δ	6962000 = 24 · 53 · 592	Discriminant
Eigenvalues	2-  2 5+  2  4  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-61,-114]	[a1,a2,a3,a4,a6]
j	1594753024/435125	j-invariant
L	2.6114032163837	L(r)(E,1)/r!
Ω	1.7409354775892	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	4720c1 18880f1 10620m1 5900b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1180a1

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	+	2	4	4	-2	0	0	2	-8	0	10	0	12	10	+	-6	-8	16	12	0	-8	-2	0

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Quadratic twists for elliptic curve 1180a1

-4	8	-3	5	-7	-59
4720c1	18880f1	10620m1	5900b1	57820o1	69620a1

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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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