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	14616f	Isogeny class
Conductor	14616	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	52864	Modular degree for the optimal curve
Δ	-1320620378112 = -1 · 211 · 33 · 77 · 29	Discriminant
Eigenvalues	2- 3+  0 7+ -3  1  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-335835,-74909546]	[a1,a2,a3,a4,a6]
Generators	[33231141958378:-1084609850844579:24540693416]	Generators of the group modulo torsion
j	-75754399836615750/23882747	j-invariant
L	4.5279546719541	L(r)(E,1)/r!
Ω	0.099160352500164	Real period
R	22.831477287995	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	29232d1 116928b1 14616a1 102312w1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14616f1

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	+	-3	1	0	1	7	-	8	-5	4	-4	-13	-1	-3	2	-3	0	-9	-12	9	-8	17

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Quadratic twists for elliptic curve 14616f1

-4	8	-3	-7
29232d1	116928b1	14616a1	102312w1

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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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