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	14520h	Isogeny class
Conductor	14520	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	61440	Modular degree for the optimal curve
Δ	-1096153368750000 = -1 · 24 · 32 · 58 · 117	Discriminant
Eigenvalues	2+ 3+ 5-  0 11-  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-21215,-1980900]	[a1,a2,a3,a4,a6]
Generators	[680:17250:1]	Generators of the group modulo torsion
j	-37256083456/38671875	j-invariant
L	4.6850748574023	L(r)(E,1)/r!
Ω	0.18992146064839	Real period
R	3.0835607265022	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	29040bg1 116160cu1 43560br1 72600dp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520h1

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

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Quadratic twists for elliptic curve 14520h1

-4	8	-3	5	-11
29040bg1	116160cu1	43560br1	72600dp1	1320h1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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