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	1092b	Isogeny class
Conductor	1092	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-2640802155264 = -1 · 28 · 34 · 73 · 135	Discriminant
Eigenvalues	2- 3+ -1 7+  2 13- -4  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1981,85897]	[a1,a2,a3,a4,a6]
Generators	[19:234:1]	Generators of the group modulo torsion
j	-3360132358144/10315633419	j-invariant
L	2.1080083729459	L(r)(E,1)/r!
Ω	0.71192666311585	Real period
R	0.098699696759958	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	4368ba1 17472v1 3276g1 27300r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1092b1

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	-	-4	1	-3	3	5	-8	-10	1	-13	-1	-8	-14	2	4	-7	17	-9	5	13

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Quadratic twists for elliptic curve 1092b1

-4	8	-3	5	-7	13
4368ba1	17472v1	3276g1	27300r1	7644e1	14196e1

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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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