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	7220f	Isogeny class
Conductor	7220	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-2743600 = -1 · 24 · 52 · 193	Discriminant
Eigenvalues	2-  2 5-  0 -4  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-25,102]	[a1,a2,a3,a4,a6]
Generators	[42:75:8]	Generators of the group modulo torsion
j	-16384/25	j-invariant
L	5.9214537670519	L(r)(E,1)/r!
Ω	2.2928542237091	Real period
R	2.5825687938734	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	28880be1 115520h1 64980i1 36100c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7220f1

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 7220f1

-4	8	-3	5	-19
28880be1	115520h1	64980i1	36100c1	7220g1

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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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