Cremona's table of elliptic curves

2420 = 2² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	2420d	Isogeny class
Conductor	2420	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	1584	Modular degree for the optimal curve
Δ	-274379367680 = -1 · 28 · 5 · 118	Discriminant
Eigenvalues	2-  1 5+ -1 11-  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,444,-24796]	[a1,a2,a3,a4,a6]
Generators	[9444:177146:27]	Generators of the group modulo torsion
j	176/5	j-invariant
L	3.39258615519	L(r)(E,1)/r!
Ω	0.47242067288309	Real period
R	7.1812821705827	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	9680p1 38720bj1 21780u1 12100c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2420d1

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	2	0	-6	-4	-4	9	-1	-3	-6	0	-1	-13	-12	-16	-10	12	-3	-10

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Quadratic twists for elliptic curve 2420d1

-4	8	-3	5	-7	-11
9680p1	38720bj1	21780u1	12100c1	118580z1	2420c1

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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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