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	1518r	Isogeny class
Conductor	1518	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	-13662 = -1 · 2 · 33 · 11 · 23	Discriminant
Eigenvalues	2- 3-  2 -1 11-  3 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-12,-18]	[a1,a2,a3,a4,a6]
j	-192100033/13662	j-invariant
L	3.8302945135405	L(r)(E,1)/r!
Ω	1.2767648378468	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	12144t1 48576e1 4554j1 37950h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518r1

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	-1	-	3	-2	0	+	8	7	-7	-3	2	2	-10	3	-2	5	-12	14	4	9	-2	-10

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Quadratic twists for elliptic curve 1518r1

-4	8	-3	5	-7	-11	-23
12144t1	48576e1	4554j1	37950h1	74382bf1	16698q1	34914bd1

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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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