Cremona's table of elliptic curves

1482 = 2 · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 19-	Signs for the Atkin-Lehner involutions
Class	1482l	Isogeny class
Conductor	1482	Conductor
∏ cp	486	Product of Tamagawa factors cp
deg	7776	Modular degree for the optimal curve
Δ	-215384711233536 = -1 · 218 · 39 · 133 · 19	Discriminant
Eigenvalues	2- 3- -3 -1 -6 13-  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,12948,421776]	[a1,a2,a3,a4,a6]
Generators	[-30:96:1]	Generators of the group modulo torsion
j	240065464752030527/215384711233536	j-invariant
L	3.8121536558447	L(r)(E,1)/r!
Ω	0.36604694470321	Real period
R	1.7357307630471	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	9	Number of elements in the torsion subgroup
Twists	11856w1 47424i1 4446j1 37050g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482l1

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	-6	-	0	-	-3	-6	-4	-7	-12	8	-6	9	-3	-1	-4	9	2	-1	12	0	17

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Quadratic twists for elliptic curve 1482l1

-4	8	-3	5	-7	13	-19
11856w1	47424i1	4446j1	37050g1	72618bl1	19266h1	28158c1

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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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