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	24336bs	Isogeny class
Conductor	24336	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	3.6820256301269E+22	Discriminant
Eigenvalues	2- 3-  2  4  4 13+ -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-31625139,67828266610]	[a1,a2,a3,a4,a6]
Generators	[9284893534150:75072506927418:3209046875]	Generators of the group modulo torsion
j	242702053576633/2554695936	j-invariant
L	7.4019032324396	L(r)(E,1)/r!
Ω	0.11612781353561	Real period
R	15.934820020894	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3042d2 97344fn2 8112bg2 1872r2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336bs2

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	-8	0	-6	-4	2	-10	-4	-8	10	-4	-2	-16	8	-2	-8	-12	14	-10

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Quadratic twists for elliptic curve 24336bs2

-4	8	-3	13
3042d2	97344fn2	8112bg2	1872r2

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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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