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	720j	Isogeny class
Conductor	720	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	217678233600 = 214 · 312 · 52	Discriminant
Eigenvalues	2- 3- 5-  4  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2667,48026]	[a1,a2,a3,a4,a6]
j	702595369/72900	j-invariant
L	1.9352482297828	L(r)(E,1)/r!
Ω	0.96762411489139	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	90c2 2880bb2 240b2 3600bk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720j2

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
-	-	-	4	0	2	-6	4	0	6	-8	2	6	4	0	6	0	-10	4	0	2	-8	12	-18	2

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Quadratic twists for elliptic curve 720j2

-4	8	-3	5	-7	-11	13
90c2	2880bb2	240b2	3600bk2	35280dx2	87120gk2	121680dz2

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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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