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	14640bl	Isogeny class
Conductor	14640	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	409826304000000 = 216 · 38 · 56 · 61	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1301333360,18068434775508]	[a1,a2,a3,a4,a6]
Generators	[18226:636480:1]	Generators of the group modulo torsion
j	59501710967615564842432531441/100055250000	j-invariant
L	6.4830152293569	L(r)(E,1)/r!
Ω	0.16373083831946	Real period
R	3.2996305073512	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	1830g5 58560cc6 43920br6 73200bq6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640bl5

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	2	-4	-8	6	-8	-2	-6	-4	-8	6	4	-	4	-8	-6	-8	4	2	2

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Quadratic twists for elliptic curve 14640bl5

-4	8	-3	5
1830g5	58560cc6	43920br6	73200bq6

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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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