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	16	Product of Tamagawa factors cp
Δ	111974400 = 211 · 37 · 52	Discriminant
Eigenvalues	2+ 3- 5+  0 -4  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-28803,-1881502]	[a1,a2,a3,a4,a6]
j	1770025017602/75	j-invariant
L	1.4658857262336	L(r)(E,1)/r!
Ω	0.36647143155841	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	360a5 2880be5 240a5 3600l5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720c5

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 720c5

-4	8	-3	5	-7	-11	13
360a5	2880be5	240a5	3600l5	35280cr6	87120x6	121680bh6

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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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