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	1482g	Isogeny class
Conductor	1482	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	-758784 = -1 · 210 · 3 · 13 · 19	Discriminant
Eigenvalues	2- 3+ -1 -1 -2 13+  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,19,35]	[a1,a2,a3,a4,a6]
Generators	[-1:4:1]	Generators of the group modulo torsion
j	756058031/758784	j-invariant
L	3.2083270002791	L(r)(E,1)/r!
Ω	1.8728948224741	Real period
R	0.17130310585412	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	11856be1 47424bq1 4446e1 37050bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482g1

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
-	+	-1	-1	-2	+	0	-	3	-6	-8	-5	0	-4	-6	-3	9	-5	12	-7	-2	-7	4	8	-9

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Quadratic twists for elliptic curve 1482g1

-4	8	-3	5	-7	13	-19
11856be1	47424bq1	4446e1	37050bd1	72618ch1	19266a1	28158j1

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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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