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	2420f	Isogeny class
Conductor	2420	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	124717894400 = 28 · 52 · 117	Discriminant
Eigenvalues	2-  2 5-  0 11-  0  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7300,-237048]	[a1,a2,a3,a4,a6]
j	94875856/275	j-invariant
L	3.0994940015624	L(r)(E,1)/r!
Ω	0.51658233359373	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9680bd2 38720r2 21780g2 12100h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2420f2

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	-	0	-	0	4	4	6	-2	0	-6	10	-4	10	2	-4	14	2	4	4	8	-12	6	6

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Quadratic twists for elliptic curve 2420f2

-4	8	-3	5	-7	-11
9680bd2	38720r2	21780g2	12100h2	118580n2	220b2

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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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