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	24336v	Isogeny class
Conductor	24336	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	71245947275523072 = 210 · 38 · 139	Discriminant
Eigenvalues	2+ 3- -2  2 -4 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-402051,-97278766]	[a1,a2,a3,a4,a6]
Generators	[-365:918:1]	Generators of the group modulo torsion
j	907924/9	j-invariant
L	4.8060310491822	L(r)(E,1)/r!
Ω	0.18970955562121	Real period
R	3.1667033280458	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	12168w2 97344gh2 8112f2 24336u2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336v2

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

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Quadratic twists for elliptic curve 24336v2

-4	8	-3	13
12168w2	97344gh2	8112f2	24336u2

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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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