Cremona's table of elliptic curves

1440 = 2⁵ · 3² · 5

Field	Data	Notes
Atkin-Lehner	2+ 3- 5-	Signs for the Atkin-Lehner involutions
Class	1440g	Isogeny class
Conductor	1440	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4958982259200 = -1 · 29 · 318 · 52	Discriminant
Eigenvalues	2+ 3- 5- -4 -4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,213,-107134]	[a1,a2,a3,a4,a6]
Generators	[62:380:1]	Generators of the group modulo torsion
j	2863288/13286025	j-invariant
L	2.6753866085641	L(r)(E,1)/r!
Ω	0.35581406477164	Real period
R	3.7595290257583	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	1440n4 2880o4 480e4 7200bo4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1440g4

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

---

Quadratic twists for elliptic curve 1440g4

-4	8	-3	5	-7
1440n4	2880o4	480e4	7200bo4	70560bb2

---

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