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	1092d	Isogeny class
Conductor	1092	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	209664 = 28 · 32 · 7 · 13	Discriminant
Eigenvalues	2- 3+ -2 7-  0 13+  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-484,4264]	[a1,a2,a3,a4,a6]
Generators	[10:18:1]	Generators of the group modulo torsion
j	49081386832/819	j-invariant
L	2.0721374424589	L(r)(E,1)/r!
Ω	2.9006602334257	Real period
R	0.47624500991892	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	4368v2 17472bj2 3276j2 27300m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1092d2

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	0	-6	-6	8	-2	-10	-12	6	-14	-10	14	-4	-12	-6	8	6	-14	-18

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Quadratic twists for elliptic curve 1092d2

-4	8	-3	5	-7	13
4368v2	17472bj2	3276j2	27300m2	7644k2	14196b2

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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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