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	14640l	Isogeny class
Conductor	14640	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-5621760 = -1 · 211 · 32 · 5 · 61	Discriminant
Eigenvalues	2+ 3- 5+  2 -4  5  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-56,180]	[a1,a2,a3,a4,a6]
Generators	[4:6:1]	Generators of the group modulo torsion
j	-9653618/2745	j-invariant
L	5.9041641497544	L(r)(E,1)/r!
Ω	2.2812910687614	Real period
R	0.64702003950771	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7320b1 58560ct1 43920w1 73200l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640l1

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	5	3	-1	-4	1	-5	2	-5	1	-7	-12	-4	-	-13	-12	-2	1	4	2	-6

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Quadratic twists for elliptic curve 14640l1

-4	8	-3	5
7320b1	58560ct1	43920w1	73200l1

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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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