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	14706q	Isogeny class
Conductor	14706	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	3409474510872 = 23 · 38 · 19 · 434	Discriminant
Eigenvalues	2- 3- -2 -4 -4 -6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-66011,-6510733]	[a1,a2,a3,a4,a6]
Generators	[-147:82:1] [357:3736:1]	Generators of the group modulo torsion
j	43635399015129193/4676919768	j-invariant
L	7.937095976615	L(r)(E,1)/r!
Ω	0.29785080883173	Real period
R	8.8826304324954	Regulator
r	2	Rank of the group of rational points
S	0.99999999999983	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	117648bj4 4902f3	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 14706q3

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

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Quadratic twists for elliptic curve 14706q3

-4	-3
117648bj4	4902f3

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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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