Cremona's table of elliptic curves

14490 = 2 · 3² · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	14490bp	Isogeny class
Conductor	14490	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	245760	Modular degree for the optimal curve
Δ	504780595200000 = 216 · 37 · 55 · 72 · 23	Discriminant
Eigenvalues	2- 3- 5+ 7-  4 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1981823,-1073358169]	[a1,a2,a3,a4,a6]
j	1180838681727016392361/692428800000	j-invariant
L	4.0717710413798	L(r)(E,1)/r!
Ω	0.12724284504312	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	115920df1 4830q1 72450bh1 101430ey1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bp1

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

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Quadratic twists for elliptic curve 14490bp1

-4	-3	5	-7
115920df1	4830q1	72450bh1	101430ey1

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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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