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	7220b	Isogeny class
Conductor	7220	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	1358685043280 = 24 · 5 · 198	Discriminant
Eigenvalues	2-  0 5+ -2 -4  4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2888,20577]	[a1,a2,a3,a4,a6]
Generators	[114:1083:1]	Generators of the group modulo torsion
j	3538944/1805	j-invariant
L	3.369418555228	L(r)(E,1)/r!
Ω	0.75562766562057	Real period
R	1.4863663276369	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	28880t1 115520x1 64980bo1 36100e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7220b1

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
-	0	+	-2	-4	4	6	-	-2	6	8	-4	-6	-6	6	-8	12	6	0	0	-10	8	14	-14	-16

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Quadratic twists for elliptic curve 7220b1

-4	8	-3	5	-19
28880t1	115520x1	64980bo1	36100e1	380a1

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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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