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	14520r	Isogeny class
Conductor	14520	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-394615212750000 = -1 · 24 · 34 · 56 · 117	Discriminant
Eigenvalues	2+ 3- 5+ -2 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-44931,3773394]	[a1,a2,a3,a4,a6]
Generators	[117:363:1]	Generators of the group modulo torsion
j	-353912203264/13921875	j-invariant
L	5.0321587396205	L(r)(E,1)/r!
Ω	0.52964410829455	Real period
R	1.1876273758203	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	29040e1 116160cc1 43560cn1 72600cp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520r1

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	-	0	-4	4	4	-6	0	-2	-2	2	12	-2	4	-2	0	8	0	-8	-2	-2	-2

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Quadratic twists for elliptic curve 14520r1

-4	8	-3	5	-11
29040e1	116160cc1	43560cn1	72600cp1	1320l1

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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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