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	1155a	Isogeny class
Conductor	1155	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-192163125 = -1 · 3 · 54 · 7 · 114	Discriminant
Eigenvalues	-1 3+ 5+ 7+ 11+ -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,49,674]	[a1,a2,a3,a4,a6]
Generators	[-1:25:1]	Generators of the group modulo torsion
j	12994449551/192163125	j-invariant
L	1.3452101707807	L(r)(E,1)/r!
Ω	1.3296321273931	Real period
R	1.0117160551905	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	18480cw4 73920di3 3465p4 5775s4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155a4

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	6	4	0	-6	0	6	-10	4	8	-6	-8	2	-8	-8	-14	4	-16	-10	-2

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Quadratic twists for elliptic curve 1155a4

-4	8	-3	5	-7	-11
18480cw4	73920di3	3465p4	5775s4	8085w4	12705c4

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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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