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	24336bw	Isogeny class
Conductor	24336	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-76196774280167424 = -1 · 236 · 38 · 132	Discriminant
Eigenvalues	2- 3-  3  2 -6 13+  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,75309,-10635118]	[a1,a2,a3,a4,a6]
Generators	[320795:16338798:125]	Generators of the group modulo torsion
j	93603087383/150994944	j-invariant
L	6.7737191061112	L(r)(E,1)/r!
Ω	0.18144110793941	Real period
R	9.33321999496	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	3042e2 97344fy2 8112v2 24336bz2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336bw2

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
-	-	3	2	-6	+	3	2	-6	-3	-4	7	-3	10	-6	-3	0	-7	-10	-6	13	4	6	18	-14

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Quadratic twists for elliptic curve 24336bw2

-4	8	-3	13
3042e2	97344fy2	8112v2	24336bz2

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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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