Cremona's table of elliptic curves

15480 = 2³ · 3² · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 43+	Signs for the Atkin-Lehner involutions
Class	15480o	Isogeny class
Conductor	15480	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-76563638138880 = -1 · 211 · 37 · 5 · 434	Discriminant
Eigenvalues	2- 3- 5- -4 -4 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,213,-420986]	[a1,a2,a3,a4,a6]
Generators	[90:572:1] [174:2210:1]	Generators of the group modulo torsion
j	715822/51282015	j-invariant
L	6.5259292814043	L(r)(E,1)/r!
Ω	0.2816252841543	Real period
R	23.172384187737	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30960p3 123840ci3 5160e4 77400o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15480o4

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

---

Quadratic twists for elliptic curve 15480o4

-4	8	-3	5
30960p3	123840ci3	5160e4	77400o3

---

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