Cremona's table of elliptic curves

14616 = 2³ · 3² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 29-	Signs for the Atkin-Lehner involutions
Class	14616p	Isogeny class
Conductor	14616	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-350849947392 = -1 · 28 · 39 · 74 · 29	Discriminant
Eigenvalues	2- 3-  2 7- -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1761,1762]	[a1,a2,a3,a4,a6]
Generators	[6:112:1]	Generators of the group modulo torsion
j	3236192048/1879983	j-invariant
L	5.4354346404995	L(r)(E,1)/r!
Ω	0.57694224143479	Real period
R	2.3552767721524	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	29232h1 116928cd1 4872g1 102312bu1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14616p1

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

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Quadratic twists for elliptic curve 14616p1

-4	8	-3	-7
29232h1	116928cd1	4872g1	102312bu1

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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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