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	720h	Isogeny class
Conductor	720	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	671846400 = 212 · 38 · 52	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-723,7378]	[a1,a2,a3,a4,a6]
Generators	[-1:90:1]	Generators of the group modulo torsion
j	13997521/225	j-invariant
L	2.1029661685701	L(r)(E,1)/r!
Ω	1.6172770870371	Real period
R	0.65015642199656	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	45a2 2880bd2 240d2 3600bf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720h2

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

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Quadratic twists for elliptic curve 720h2

-4	8	-3	5	-7	-11	13
45a2	2880bd2	240d2	3600bf2	35280fr2	87120dz2	121680en2

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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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