Cremona's table of elliptic curves

1155 = 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	3- 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	1155h	Isogeny class
Conductor	1155	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-144375 = -1 · 3 · 54 · 7 · 11	Discriminant
Eigenvalues	1 3- 5+ 7+ 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4,-19]	[a1,a2,a3,a4,a6]
Generators	[273:706:27]	Generators of the group modulo torsion
j	-4826809/144375	j-invariant
L	3.3205823523659	L(r)(E,1)/r!
Ω	1.4184197603245	Real period
R	4.6820869889831	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	18480bt1 73920x1 3465n1 5775i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155h1

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
1	-	+	+	-	-2	-2	-4	-4	-6	-4	-2	-6	-4	8	2	-12	-2	-4	16	2	-4	0	6	14

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Quadratic twists for elliptic curve 1155h1

-4	8	-3	5	-7	-11
18480bt1	73920x1	3465n1	5775i1	8085l1	12705k1

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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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