Cremona's table of elliptic curves

2720 = 2⁵ · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5+ 17-	Signs for the Atkin-Lehner involutions
Class	2720b	Isogeny class
Conductor	2720	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-27200000 = -1 · 29 · 55 · 17	Discriminant
Eigenvalues	2+ -1 5+  2  0  5 17-  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,64,136]	[a1,a2,a3,a4,a6]
j	55742968/53125	j-invariant
L	1.38339186834	L(r)(E,1)/r!
Ω	1.38339186834	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2720e1 5440j1 24480be1 13600n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2720b1

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	+	2	0	5	-	3	-2	-3	-7	-8	-2	10	3	-1	-1	11	14	13	-7	16	0	-9	-5

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Quadratic twists for elliptic curve 2720b1

-4	8	-3	5	17
2720e1	5440j1	24480be1	13600n1	46240i1

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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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