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	1155i	Isogeny class
Conductor	1155	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	-841995 = -1 · 37 · 5 · 7 · 11	Discriminant
Eigenvalues	-2 3- 5+ 7+ 11- -2  1 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-126,506]	[a1,a2,a3,a4,a6]
Generators	[9:-14:1]	Generators of the group modulo torsion
j	-222985990144/841995	j-invariant
L	1.5265330908649	L(r)(E,1)/r!
Ω	2.8300378124602	Real period
R	0.077057682719886	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480bs1 73920w1 3465o1 5775j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155i1

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	-	+	+	-	-2	1	-7	5	3	-4	-2	-12	-1	-4	-1	9	-11	2	-8	8	2	-9	-3	-13

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Quadratic twists for elliptic curve 1155i1

-4	8	-3	5	-7	-11
18480bs1	73920w1	3465o1	5775j1	8085m1	12705l1

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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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