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	24240d	Isogeny class
Conductor	24240	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	20160	Modular degree for the optimal curve
Δ	-20029051440 = -1 · 24 · 35 · 5 · 1013	Discriminant
Eigenvalues	2+ 3+ 5- -3  1  0 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1555,25090]	[a1,a2,a3,a4,a6]
j	-26006036555776/1251815715	j-invariant
L	1.2036867725271	L(r)(E,1)/r!
Ω	1.2036867725272	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	12120p1 96960dl1 72720o1 121200bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240d1

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	1	0	-3	1	-9	10	-1	10	3	0	7	-6	0	-4	-7	-8	-3	17	12	1	-10

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Quadratic twists for elliptic curve 24240d1

-4	8	-3	5
12120p1	96960dl1	72720o1	121200bc1

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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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