Cremona's table of elliptic curves

1092 = 2² · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	1092c	Isogeny class
Conductor	1092	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-152845056 = -1 · 28 · 38 · 7 · 13	Discriminant
Eigenvalues	2- 3+  1 7- -6 13+ -8  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-365,-2631]	[a1,a2,a3,a4,a6]
Generators	[35:162:1]	Generators of the group modulo torsion
j	-21064523776/597051	j-invariant
L	2.2956876250832	L(r)(E,1)/r!
Ω	0.54509420233286	Real period
R	0.7019238189345	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	4368u1 17472bi1 3276i1 27300q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1092c1

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	-	-6	+	-8	3	9	-9	-1	-8	2	9	-3	-5	8	-10	-10	-12	3	-7	-15	-5	15

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Quadratic twists for elliptic curve 1092c1

-4	8	-3	5	-7	13
4368u1	17472bi1	3276i1	27300q1	7644j1	14196a1

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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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