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	1092a	Isogeny class
Conductor	1092	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-5441213232 = -1 · 24 · 35 · 72 · 134	Discriminant
Eigenvalues	2- 3+  0 7+ -2 13+  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-313,4246]	[a1,a2,a3,a4,a6]
j	-212629504000/340075827	j-invariant
L	1.2160167144264	L(r)(E,1)/r!
Ω	1.2160167144264	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4368x1 17472x1 3276e1 27300t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1092a1

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
-	+	0	+	-2	+	4	4	2	6	0	10	4	-4	0	10	4	-2	0	-6	14	-4	16	12	6

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Quadratic twists for elliptic curve 1092a1

-4	8	-3	5	-7	13
4368x1	17472x1	3276e1	27300t1	7644h1	14196d1

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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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