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	16	Product of Tamagawa factors cp
Δ	1334025 = 32 · 52 · 72 · 112	Discriminant
Eigenvalues	1 3- 5+ 7+ 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-129,-569]	[a1,a2,a3,a4,a6]
Generators	[41:231:1]	Generators of the group modulo torsion
j	234770924809/1334025	j-invariant
L	3.3205823523659	L(r)(E,1)/r!
Ω	1.4184197603245	Real period
R	2.3410434944916	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480bt2 73920x2 3465n2 5775i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155h2

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 1155h2

-4	8	-3	5	-7	-11
18480bt2	73920x2	3465n2	5775i2	8085l2	12705k2

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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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