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	1482a	Isogeny class
Conductor	1482	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	5544	Modular degree for the optimal curve
Δ	-65925097924608 = -1 · 211 · 33 · 137 · 19	Discriminant
Eigenvalues	2+ 3+  0 -3 -3 13+ -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-13195,696637]	[a1,a2,a3,a4,a6]
j	-254099214331341625/65925097924608	j-invariant
L	0.58922384078275	L(r)(E,1)/r!
Ω	0.58922384078275	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	11856bc1 47424bn1 4446p1 37050ck1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482a1

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
+	+	0	-3	-3	+	-2	-	5	-6	6	6	-4	9	10	2	-10	4	7	-9	-16	17	12	-16	18

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Quadratic twists for elliptic curve 1482a1

-4	8	-3	5	-7	13	-19
11856bc1	47424bn1	4446p1	37050ck1	72618bc1	19266o1	28158t1

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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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