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	1480c	Isogeny class
Conductor	1480	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	47360 = 28 · 5 · 37	Discriminant
Eigenvalues	2+ -2 5-  2  0 -6 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-60,160]	[a1,a2,a3,a4,a6]
Generators	[3:4:1]	Generators of the group modulo torsion
j	94875856/185	j-invariant
L	2.2172721769771	L(r)(E,1)/r!
Ω	3.5845432506333	Real period
R	1.2371295431212	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	2960c1 11840d1 13320n1 7400f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1480c1

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	-	2	0	-6	-2	6	-4	-2	-6	-	-6	8	-6	-10	14	6	-14	8	-6	-14	2	-6	2

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Quadratic twists for elliptic curve 1480c1

-4	8	-3	5	-7	37
2960c1	11840d1	13320n1	7400f1	72520g1	54760e1

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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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