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	14520c	Isogeny class
Conductor	14520	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	184320	Modular degree for the optimal curve
Δ	112512689459280 = 24 · 38 · 5 · 118	Discriminant
Eigenvalues	2+ 3+ 5+  2 11-  4  4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1322691,585952776]	[a1,a2,a3,a4,a6]
j	9028656748079104/3969405	j-invariant
L	1.9309126463446	L(r)(E,1)/r!
Ω	0.48272816158616	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29040ba1 116160ei1 43560ck1 72600dw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520c1

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	-	4	4	-8	4	-2	8	-2	2	6	12	6	-12	-10	16	0	-4	-12	6	6	14

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Quadratic twists for elliptic curve 14520c1

-4	8	-3	5	-11
29040ba1	116160ei1	43560ck1	72600dw1	1320e1

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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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