Cremona's table of elliptic curves

14640 = 2⁴ · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 61-	Signs for the Atkin-Lehner involutions
Class	14640bj	Isogeny class
Conductor	14640	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	1024565760000 = 212 · 38 · 54 · 61	Discriminant
Eigenvalues	2- 3- 5-  0  0 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5880,164628]	[a1,a2,a3,a4,a6]
Generators	[-84:270:1]	Generators of the group modulo torsion
j	5489965305721/250138125	j-invariant
L	6.2565010915902	L(r)(E,1)/r!
Ω	0.8667955347551	Real period
R	0.90224580664197	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	915b3 58560ca4 43920bo4 73200bn4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640bj3

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

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Quadratic twists for elliptic curve 14640bj3

-4	8	-3	5
915b3	58560ca4	43920bo4	73200bn4

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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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