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	14616o	Isogeny class
Conductor	14616	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	147720822294528 = 211 · 36 · 76 · 292	Discriminant
Eigenvalues	2- 3-  0 7-  0  4 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-321915,-70298314]	[a1,a2,a3,a4,a6]
Generators	[9250:265727:8]	Generators of the group modulo torsion
j	2471097448795250/98942809	j-invariant
L	5.3039817461684	L(r)(E,1)/r!
Ω	0.2004311852364	Real period
R	4.4104761275153	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	29232f2 116928bx2 1624b2 102312bk2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14616o2

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	-	0	4	-2	6	0	-	0	2	-10	-8	-8	-6	-10	-12	-12	-8	14	0	-2	10	-14

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Quadratic twists for elliptic curve 14616o2

-4	8	-3	-7
29232f2	116928bx2	1624b2	102312bk2

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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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