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	1122f	Isogeny class
Conductor	1122	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	35904 = 26 · 3 · 11 · 17	Discriminant
Eigenvalues	2- 3+ -2  0 11- -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9,-9]	[a1,a2,a3,a4,a6]
Generators	[-3:2:1]	Generators of the group modulo torsion
j	81182737/35904	j-invariant
L	2.8906692607279	L(r)(E,1)/r!
Ω	2.8696969722464	Real period
R	0.67153879281433	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	8976z1 35904z1 3366f1 28050bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122f1

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

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Quadratic twists for elliptic curve 1122f1

-4	8	-3	5	-7	-11	17
8976z1	35904z1	3366f1	28050bj1	54978cb1	12342f1	19074ba1

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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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