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	24240bj	Isogeny class
Conductor	24240	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	10080	Modular degree for the optimal curve
Δ	-17670960 = -1 · 24 · 37 · 5 · 101	Discriminant
Eigenvalues	2- 3- 5+ -3  3  6  3  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-561,-5310]	[a1,a2,a3,a4,a6]
j	-1222548865024/1104435	j-invariant
L	3.4327238244246	L(r)(E,1)/r!
Ω	0.49038911777496	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6060b1 96960cp1 72720ca1 121200ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240bj1

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	3	6	3	7	3	-2	9	4	-5	-2	3	4	4	10	9	6	-5	11	-2	-15	16

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Quadratic twists for elliptic curve 24240bj1

-4	8	-3	5
6060b1	96960cp1	72720ca1	121200ce1

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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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