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	24336cc	Isogeny class
Conductor	24336	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	60458866311168 = 222 · 38 · 133	Discriminant
Eigenvalues	2- 3-  2  2  0 13- -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-10223499,12581935418]	[a1,a2,a3,a4,a6]
j	18013780041269221/9216	j-invariant
L	3.0423900738033	L(r)(E,1)/r!
Ω	0.3802987592254	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3042n4 97344gk4 8112y4 24336ce4	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336cc4

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

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Quadratic twists for elliptic curve 24336cc4

-4	8	-3	13
3042n4	97344gk4	8112y4	24336ce4

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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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