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	720d	Isogeny class
Conductor	720	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-466560000 = -1 · 210 · 36 · 54	Discriminant
Eigenvalues	2+ 3- 5+  4  4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,117,-918]	[a1,a2,a3,a4,a6]
j	237276/625	j-invariant
L	1.7140518822377	L(r)(E,1)/r!
Ω	0.85702594111885	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	360e4 2880bg4 80a4 3600p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720d4

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	4	-2	-2	-4	4	2	8	6	6	8	4	-6	-4	-2	-8	0	-6	0	-16	6	-14

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Quadratic twists for elliptic curve 720d4

-4	8	-3	5	-7	-11	13
360e4	2880bg4	80a4	3600p4	35280ck3	87120bk3	121680bw3

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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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