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	720a	Isogeny class
Conductor	720	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1382400 = 211 · 33 · 52	Discriminant
Eigenvalues	2+ 3+ 5+ -2 -2  4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-123,522]	[a1,a2,a3,a4,a6]
Generators	[1:20:1]	Generators of the group modulo torsion
j	3721734/25	j-invariant
L	2.0753361000822	L(r)(E,1)/r!
Ω	2.71755266091	Real period
R	0.19091958455253	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	360b2 2880w2 720b2 3600d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 720a2

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

---

Quadratic twists for elliptic curve 720a2

-4	8	-3	5	-7	-11	13
360b2	2880w2	720b2	3600d2	35280r2	87120e2	121680g2

---

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