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	14616d	Isogeny class
Conductor	14616	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	5632	Modular degree for the optimal curve
Δ	812152656 = 24 · 36 · 74 · 29	Discriminant
Eigenvalues	2+ 3-  2 7-  4 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-234,-135]	[a1,a2,a3,a4,a6]
Generators	[-8:35:1]	Generators of the group modulo torsion
j	121485312/69629	j-invariant
L	5.8398094202401	L(r)(E,1)/r!
Ω	1.3243216076593	Real period
R	1.1024152642503	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	29232e1 116928cl1 1624e1 102312k1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14616d1

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	-6	0	-8	+	4	6	-6	4	-4	-6	4	-14	4	0	14	-16	4	2	6

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Quadratic twists for elliptic curve 14616d1

-4	8	-3	-7
29232e1	116928cl1	1624e1	102312k1

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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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