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	151165440000 = 212 · 310 · 54	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1443,-9758]	[a1,a2,a3,a4,a6]
Generators	[-31:72:1]	Generators of the group modulo torsion
j	111284641/50625	j-invariant
L	2.1029661685701	L(r)(E,1)/r!
Ω	0.80863854351854	Real period
R	1.3003128439931	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	45a4 2880bd3 240d4 3600bf3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720h3

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 720h3

-4	8	-3	5	-7	-11	13
45a4	2880bd3	240d4	3600bf3	35280fr3	87120dz3	121680en3

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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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