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	14640n	Isogeny class
Conductor	14640	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	66978000 = 24 · 32 · 53 · 612	Discriminant
Eigenvalues	2+ 3- 5- -2  0 -2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-395,2868]	[a1,a2,a3,a4,a6]
Generators	[16:30:1]	Generators of the group modulo torsion
j	427065051136/4186125	j-invariant
L	5.6926878166415	L(r)(E,1)/r!
Ω	1.9651628270835	Real period
R	0.965600702087	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	7320l1 58560cn1 43920e1 73200c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640n1

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	-4	-4	6	6	-4	-12	6	6	12	4	8	+	-6	4	-2	-12	12	-6	2

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Quadratic twists for elliptic curve 14640n1

-4	8	-3	5
7320l1	58560cn1	43920e1	73200c1

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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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