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	1155n	Isogeny class
Conductor	1155	Conductor
∏ cp	375	Product of Tamagawa factors cp
deg	6000	Modular degree for the optimal curve
Δ	-16987307596875 = -1 · 35 · 55 · 75 · 113	Discriminant
Eigenvalues	-2 3- 5- 7- 11- -6 -7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-8940,378056]	[a1,a2,a3,a4,a6]
Generators	[-72:808:1]	Generators of the group modulo torsion
j	-79028701534867456/16987307596875	j-invariant
L	1.7238948109192	L(r)(E,1)/r!
Ω	0.66335463746765	Real period
R	0.17325019565202	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	18480cb1 73920l1 3465h1 5775f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155n1

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	-	-	-	-	-6	-7	-5	-1	-5	-8	-2	12	-11	8	-11	-5	7	-2	12	4	-10	-1	15	3

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Quadratic twists for elliptic curve 1155n1

-4	8	-3	5	-7	-11
18480cb1	73920l1	3465h1	5775f1	8085j1	12705p1

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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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