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	720i	Isogeny class
Conductor	720	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	1458000 = 24 · 36 · 53	Discriminant
Eigenvalues	2- 3- 5- -2  0  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-372,-2761]	[a1,a2,a3,a4,a6]
j	488095744/125	j-invariant
L	1.6306537485026	L(r)(E,1)/r!
Ω	1.0871024990017	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	180a3 2880ba3 80b4 3600bh3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720i3

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

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Quadratic twists for elliptic curve 720i3

-4	8	-3	5	-7	-11	13
180a3	2880ba3	80b4	3600bh3	35280dz3	87120fz3	121680dm3

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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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