Cremona's table of elliptic curves

14790 = 2 · 3 · 5 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17- 29-	Signs for the Atkin-Lehner involutions
Class	14790r	Isogeny class
Conductor	14790	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	3043518553125000 = 23 · 34 · 58 · 17 · 294	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-99280,11702825]	[a1,a2,a3,a4,a6]
Generators	[-37:3933:1]	Generators of the group modulo torsion
j	108220438917866661121/3043518553125000	j-invariant
L	6.3255017557686	L(r)(E,1)/r!
Ω	0.44841753448083	Real period
R	0.293880761668	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	118320cr3 44370e3 73950bd3	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14790r3

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

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Quadratic twists for elliptic curve 14790r3

-4	-3	5
118320cr3	44370e3	73950bd3

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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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