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	720g	Isogeny class
Conductor	720	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	16124313600 = 215 · 39 · 52	Discriminant
Eigenvalues	2- 3+ 5- -2 -6 -4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-18387,959634]	[a1,a2,a3,a4,a6]
Generators	[73:80:1]	Generators of the group modulo torsion
j	8527173507/200	j-invariant
L	2.1771249053466	L(r)(E,1)/r!
Ω	1.1463561695731	Real period
R	0.4747924255856	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90a4 2880v4 720f2 3600ba4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720g4

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

---

Quadratic twists for elliptic curve 720g4

-4	8	-3	5	-7	-11	13
90a4	2880v4	720f2	3600ba4	35280df4	87120dl4	121680ck4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations