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	720c	Isogeny class
Conductor	720	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	524880 = 24 · 38 · 5	Discriminant
Eigenvalues	2+ 3- 5+  0 -4  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-138,623]	[a1,a2,a3,a4,a6]
j	24918016/45	j-invariant
L	1.4658857262336	L(r)(E,1)/r!
Ω	2.9317714524673	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	360a1 2880be1 240a1 3600l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720c1

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	6	6	4	0	2	8	-2	6	-12	8	-6	12	14	-4	8	-6	8	-12	-10	2

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Quadratic twists for elliptic curve 720c1

-4	8	-3	5	-7	-11	13
360a1	2880be1	240a1	3600l1	35280cr1	87120x1	121680bh1

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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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