Cremona's table of elliptic curves

7220 = 2² · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 5- 19+	Signs for the Atkin-Lehner involutions
Class	7220g	Isogeny class
Conductor	7220	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	18240	Modular degree for the optimal curve
Δ	-129075079111600 = -1 · 24 · 52 · 199	Discriminant
Eigenvalues	2- -2 5-  0 -4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9145,-645000]	[a1,a2,a3,a4,a6]
Generators	[125:425:1]	Generators of the group modulo torsion
j	-16384/25	j-invariant
L	2.7658232787536	L(r)(E,1)/r!
Ω	0.231592460828	Real period
R	3.9808769664682	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	28880bd1 115520f1 64980j1 36100b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7220g1

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

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Quadratic twists for elliptic curve 7220g1

-4	8	-3	5	-19
28880bd1	115520f1	64980j1	36100b1	7220f1

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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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