Cremona's table of elliptic curves

1480 = 2³ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5+ 37-	Signs for the Atkin-Lehner involutions
Class	1480a	Isogeny class
Conductor	1480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	236800 = 28 · 52 · 37	Discriminant
Eigenvalues	2+ -3 5+ -5 -3 -4 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-28,52]	[a1,a2,a3,a4,a6]
Generators	[-4:10:1] [-2:10:1]	Generators of the group modulo torsion
j	9483264/925	j-invariant
L	1.9802564437002	L(r)(E,1)/r!
Ω	3.0439075079824	Real period
R	0.081320491773693	Regulator
r	2	Rank of the group of rational points
S	0.99999999999904	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2960a1 11840n1 13320q1 7400g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1480a1

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	+	-5	-3	-4	-4	-4	-4	-8	-2	-	-5	-10	7	3	4	2	-12	-1	-11	14	9	-14	-2

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Quadratic twists for elliptic curve 1480a1

-4	8	-3	5	-7	37
2960a1	11840n1	13320q1	7400g1	72520o1	54760g1

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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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