Cremona's table of elliptic curves

1880 = 2³ · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 5+ 47-	Signs for the Atkin-Lehner involutions
Class	1880c	Isogeny class
Conductor	1880	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	240640 = 210 · 5 · 47	Discriminant
Eigenvalues	2- -1 5+ -1  3  1  4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-16,-4]	[a1,a2,a3,a4,a6]
Generators	[-2:4:1]	Generators of the group modulo torsion
j	470596/235	j-invariant
L	2.3658474362705	L(r)(E,1)/r!
Ω	2.501124374468	Real period
R	0.47295677504517	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	3760a1 15040q1 16920g1 9400a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1880c1

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	3	1	4	-1	-2	-6	7	0	-10	-10	-	6	0	-5	-6	-8	-13	4	7	-18	-2

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Quadratic twists for elliptic curve 1880c1

-4	8	-3	5	-7	-47
3760a1	15040q1	16920g1	9400a1	92120s1	88360n1

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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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