Cremona's table of elliptic curves

24240 = 2⁴ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 101-	Signs for the Atkin-Lehner involutions
Class	24240bo	Isogeny class
Conductor	24240	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-41886720000 = -1 · 213 · 34 · 54 · 101	Discriminant
Eigenvalues	2- 3- 5-  3 -4  0 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-120,-9900]	[a1,a2,a3,a4,a6]
Generators	[30:120:1]	Generators of the group modulo torsion
j	-47045881/10226250	j-invariant
L	7.4744073716068	L(r)(E,1)/r!
Ω	0.51049057814672	Real period
R	0.22877526085857	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	3030f1 96960bz1 72720bj1 121200ci1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240bo1

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	-4	0	-3	-1	6	-1	-4	-4	0	-7	6	3	-8	-9	-6	-2	-8	14	-12	-12	1

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Quadratic twists for elliptic curve 24240bo1

-4	8	-3	5
3030f1	96960bz1	72720bj1	121200ci1

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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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