Cremona's table of elliptic curves

14520 = 2³ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	14520u	Isogeny class
Conductor	14520	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	-51142131572400 = -1 · 24 · 38 · 52 · 117	Discriminant
Eigenvalues	2+ 3- 5-  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,7825,220350]	[a1,a2,a3,a4,a6]
j	1869154304/1804275	j-invariant
L	3.3242710078192	L(r)(E,1)/r!
Ω	0.4155338759774	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	29040n1 116160o1 43560bq1 72600ck1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520u1

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

---

Quadratic twists for elliptic curve 14520u1

-4	8	-3	5	-11
29040n1	116160o1	43560bq1	72600ck1	1320m1

---

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