Cremona's table of elliptic curves

1518 = 2 · 3 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 23+	Signs for the Atkin-Lehner involutions
Class	1518l	Isogeny class
Conductor	1518	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	800	Modular degree for the optimal curve
Δ	29878794 = 2 · 310 · 11 · 23	Discriminant
Eigenvalues	2- 3+ -3  3 11+  1 -3  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-592,-5785]	[a1,a2,a3,a4,a6]
j	22947463187713/29878794	j-invariant
L	1.9358836830383	L(r)(E,1)/r!
Ω	0.96794184151914	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12144br1 48576bn1 4554q1 37950bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518l1

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
-	+	-3	3	+	1	-3	4	+	7	-3	9	6	10	-3	2	0	4	1	13	14	-9	6	-8	6

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Quadratic twists for elliptic curve 1518l1

-4	8	-3	5	-7	-11	-23
12144br1	48576bn1	4554q1	37950bf1	74382bn1	16698h1	34914y1

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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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