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	8	Product of Tamagawa factors cp
Δ	527295615 = 3 · 5 · 74 · 114	Discriminant
Eigenvalues	1 3- 5+ 7+ 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-204,151]	[a1,a2,a3,a4,a6]
Generators	[-11:38:1]	Generators of the group modulo torsion
j	932288503609/527295615	j-invariant
L	3.3205823523659	L(r)(E,1)/r!
Ω	1.4184197603245	Real period
R	1.1705217472458	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	18480bt3 73920x3 3465n3 5775i4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155h4

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 1155h4

-4	8	-3	5	-7	-11
18480bt3	73920x3	3465n3	5775i4	8085l3	12705k3

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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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