Cremona's table of elliptic curves

2120 = 2³ · 5 · 53

Field	Data	Notes
Atkin-Lehner	2+ 5- 53-	Signs for the Atkin-Lehner involutions
Class	2120a	Isogeny class
Conductor	2120	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-1356800 = -1 · 210 · 52 · 53	Discriminant
Eigenvalues	2+ -1 5-  2  0  1 -5 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-40,-100]	[a1,a2,a3,a4,a6]
Generators	[10:20:1]	Generators of the group modulo torsion
j	-7086244/1325	j-invariant
L	2.829523277604	L(r)(E,1)/r!
Ω	0.93771942985974	Real period
R	0.75436297561501	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	4240a1 16960b1 19080i1 10600c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2120a1

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	-	2	0	1	-5	-5	-1	-1	0	-3	-8	-10	6	-	4	0	-4	15	-2	5	1	-14	-13

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Quadratic twists for elliptic curve 2120a1

-4	8	-3	5	-7	53
4240a1	16960b1	19080i1	10600c1	103880i1	112360d1

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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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