Cremona's table of elliptic curves

14706 = 2 · 3² · 19 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 19- 43-	Signs for the Atkin-Lehner involutions
Class	14706w	Isogeny class
Conductor	14706	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-50590774840608 = -1 · 25 · 38 · 194 · 432	Discriminant
Eigenvalues	2- 3- -2 -2  0 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7196,416895]	[a1,a2,a3,a4,a6]
Generators	[23:501:1]	Generators of the group modulo torsion
j	-56521420288633/69397496352	j-invariant
L	5.8517130018238	L(r)(E,1)/r!
Ω	0.57274976544114	Real period
R	0.25542188556449	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	117648bf2 4902d2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 14706w2

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	-2	0	-2	2	-	2	-6	8	4	10	-	-6	0	0	0	-4	0	-6	-4	-4	6	-18

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Quadratic twists for elliptic curve 14706w2

-4	-3
117648bf2	4902d2

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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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