Cremona's table of elliptic curves

14880 = 2⁵ · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 31-	Signs for the Atkin-Lehner involutions
Class	14880r	Isogeny class
Conductor	14880	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	252204840000 = 26 · 38 · 54 · 312	Discriminant
Eigenvalues	2- 3- 5-  0 -4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1670,9768]	[a1,a2,a3,a4,a6]
Generators	[1:90:1]	Generators of the group modulo torsion
j	8052916245184/3940700625	j-invariant
L	6.1967480971113	L(r)(E,1)/r!
Ω	0.87497459077344	Real period
R	0.8852754357749	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14880j1 29760bu2 44640n1 74400i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14880r1

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

---

Quadratic twists for elliptic curve 14880r1

-4	8	-3	5
14880j1	29760bu2	44640n1	74400i1

---

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