Cremona's table of elliptic curves

1122 = 2 · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 17+	Signs for the Atkin-Lehner involutions
Class	1122i	Isogeny class
Conductor	1122	Conductor
∏ cp	70	Product of Tamagawa factors cp
deg	1120	Modular degree for the optimal curve
Δ	744505344 = 214 · 35 · 11 · 17	Discriminant
Eigenvalues	2- 3- -2 -4 11+ -4 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-904,10304]	[a1,a2,a3,a4,a6]
Generators	[-16:152:1]	Generators of the group modulo torsion
j	81706955619457/744505344	j-invariant
L	3.4824188156583	L(r)(E,1)/r!
Ω	1.6081945560112	Real period
R	0.12373836247048	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	8976u1 35904q1 3366k1 28050i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122i1

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	-4	+	-4	+	-8	0	0	10	8	-10	-8	10	-12	-8	-2	4	-4	10	12	4	-6	-10

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Quadratic twists for elliptic curve 1122i1

-4	8	-3	5	-7	-11	17
8976u1	35904q1	3366k1	28050i1	54978bo1	12342q1	19074t1

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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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