Cremona's table of elliptic curves

720 = 2⁴ · 3² · 5

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+	Signs for the Atkin-Lehner involutions
Class	720f	Isogeny class
Conductor	720	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-35389440 = -1 · 218 · 33 · 5	Discriminant
Eigenvalues	2- 3+ 5+ -2  6 -4  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-123,-598]	[a1,a2,a3,a4,a6]
j	-1860867/320	j-invariant
L	1.4202443487364	L(r)(E,1)/r!
Ω	0.71012217436818	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90b1 2880x1 720g3 3600z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720f1

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

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Quadratic twists for elliptic curve 720f1

-4	8	-3	5	-7	-11	13
90b1	2880x1	720g3	3600z1	35280dq1	87120cy1	121680cx1

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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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