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	1518f	Isogeny class
Conductor	1518	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	327888 = 24 · 34 · 11 · 23	Discriminant
Eigenvalues	2+ 3+  2  0 11- -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-21589,-1229987]	[a1,a2,a3,a4,a6]
Generators	[421:7822:1]	Generators of the group modulo torsion
j	1112891236915770073/327888	j-invariant
L	2.0198636923892	L(r)(E,1)/r!
Ω	0.39385721333286	Real period
R	5.1284161467982	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	12144bd4 48576bh4 4554z4 37950cs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1518f3

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	-	-2	-6	-4	-	-6	0	-2	6	-4	0	2	4	-2	8	0	-14	0	-4	6	-6

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Quadratic twists for elliptic curve 1518f3

-4	8	-3	5	-7	-11	-23
12144bd4	48576bh4	4554z4	37950cs4	74382t4	16698bf4	34914f4

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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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