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	24336bv	Isogeny class
Conductor	24336	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	10080	Modular degree for the optimal curve
Δ	333135504 = 24 · 36 · 134	Discriminant
Eigenvalues	2- 3- -2 -1 -5 13+ -3  3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1521,22815]	[a1,a2,a3,a4,a6]
Generators	[22:1:1]	Generators of the group modulo torsion
j	1168128	j-invariant
L	3.5814408284287	L(r)(E,1)/r!
Ω	1.6998659745972	Real period
R	2.1068960035378	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	6084k1 97344ff1 2704k1 24336bq1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336bv1

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	-1	-5	+	-3	3	-1	1	8	3	-3	-1	4	6	5	-5	-7	-11	14	4	12	9	-1

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Quadratic twists for elliptic curve 24336bv1

-4	8	-3	13
6084k1	97344ff1	2704k1	24336bq1

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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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