Cremona's table of elliptic curves

14136 = 2³ · 3 · 19 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 19+ 31+	Signs for the Atkin-Lehner involutions
Class	14136d	Isogeny class
Conductor	14136	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-312499065422592 = -1 · 28 · 33 · 196 · 312	Discriminant
Eigenvalues	2- 3-  2  0  2 -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-70732,-7313968]	[a1,a2,a3,a4,a6]
Generators	[1082:34410:1]	Generators of the group modulo torsion
j	-152875433506709968/1220699474307	j-invariant
L	6.6782760964396	L(r)(E,1)/r!
Ω	0.14630461913555	Real period
R	3.8038649177647	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	28272a2 113088d2 42408d2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 14136d2

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

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Quadratic twists for elliptic curve 14136d2

-4	8	-3
28272a2	113088d2	42408d2

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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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