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	14520bj	Isogeny class
Conductor	14520	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-388119600 = -1 · 24 · 36 · 52 · 113	Discriminant
Eigenvalues	2- 3- 5+  0 11+ -2  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-491,4134]	[a1,a2,a3,a4,a6]
Generators	[7:33:1]	Generators of the group modulo torsion
j	-615962624/18225	j-invariant
L	5.4228577707479	L(r)(E,1)/r!
Ω	1.6835456221744	Real period
R	0.26842445388877	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29040b1 116160bf1 43560t1 72600a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520bj1

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	0	6	-8	10	-8	-2	-10	-4	8	2	12	8	16	-4	-10	-10	-6	-6	6

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Quadratic twists for elliptic curve 14520bj1

-4	8	-3	5	-11
29040b1	116160bf1	43560t1	72600a1	14520o1

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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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