Cremona's table of elliptic curves

14640 = 2⁴ · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 61+	Signs for the Atkin-Lehner involutions
Class	14640j	Isogeny class
Conductor	14640	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-128597760 = -1 · 28 · 33 · 5 · 612	Discriminant
Eigenvalues	2+ 3- 5+ -2 -6 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-36,540]	[a1,a2,a3,a4,a6]
Generators	[-6:24:1] [-1:24:1]	Generators of the group modulo torsion
j	-20720464/502335	j-invariant
L	6.8954700406227	L(r)(E,1)/r!
Ω	1.553031479926	Real period
R	1.4800022042377	Regulator
r	2	Rank of the group of rational points
S	0.99999999999999	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7320j1 58560dc1 43920u1 73200f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640j1

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

---

Quadratic twists for elliptic curve 14640j1

-4	8	-3	5
7320j1	58560dc1	43920u1	73200f1

---

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