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	1518n	Isogeny class
Conductor	1518	Conductor
∏ cp	190	Product of Tamagawa factors cp
deg	18240	Modular degree for the optimal curve
Δ	3006677182316544 = 219 · 34 · 11 · 235	Discriminant
Eigenvalues	2- 3+ -3  1 11+ -1  7 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-180357,29287947]	[a1,a2,a3,a4,a6]
Generators	[-377:6812:1]	Generators of the group modulo torsion
j	648817971720191270353/3006677182316544	j-invariant
L	3.086773164896	L(r)(E,1)/r!
Ω	0.45285261274355	Real period
R	0.035875192269862	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	12144bl1 48576bu1 4554m1 37950w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518n1

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	1	+	-1	7	-6	-	-9	-5	-9	4	-6	-7	2	12	-14	-11	-7	4	1	14	0	16

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Quadratic twists for elliptic curve 1518n1

-4	8	-3	5	-7	-11	-23
12144bl1	48576bu1	4554m1	37950w1	74382bq1	16698k1	34914x1

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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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