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	2720f	Isogeny class
Conductor	2720	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	92480 = 26 · 5 · 172	Discriminant
Eigenvalues	2- -2 5+ -2  0  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1926,31900]	[a1,a2,a3,a4,a6]
Generators	[21:34:1]	Generators of the group modulo torsion
j	12352022024896/1445	j-invariant
L	2.0479033481705	L(r)(E,1)/r!
Ω	2.6229109853504	Real period
R	0.78077500899138	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	2720c1 5440m2 24480m1 13600b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2720f1

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

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Quadratic twists for elliptic curve 2720f1

-4	8	-3	5	17
2720c1	5440m2	24480m1	13600b1	46240bc1

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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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