Cremona's table of elliptic curves

24336 = 2⁴ · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	24336bt	Isogeny class
Conductor	24336	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	15176651490643968 = 212 · 310 · 137	Discriminant
Eigenvalues	2- 3-  2 -4 -4 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1691859,-847000622]	[a1,a2,a3,a4,a6]
Generators	[-751:144:1]	Generators of the group modulo torsion
j	37159393753/1053	j-invariant
L	4.8218790454373	L(r)(E,1)/r!
Ω	0.13237599930142	Real period
R	2.276601815512	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	1521d4 97344fo4 8112bh4 1872q3	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336bt4

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

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Quadratic twists for elliptic curve 24336bt4

-4	8	-3	13
1521d4	97344fo4	8112bh4	1872q3

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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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