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	24240f	Isogeny class
Conductor	24240	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	14336	Modular degree for the optimal curve
Δ	81810000 = 24 · 34 · 54 · 101	Discriminant
Eigenvalues	2+ 3+ 5-  0  0  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2735,-54150]	[a1,a2,a3,a4,a6]
Generators	[970:9405:8]	Generators of the group modulo torsion
j	141460276688896/5113125	j-invariant
L	5.411481771008	L(r)(E,1)/r!
Ω	0.6601580631106	Real period
R	4.0986258241773	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	12120j1 96960cz1 72720d1 121200bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240f1

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

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Quadratic twists for elliptic curve 24240f1

-4	8	-3	5
12120j1	96960cz1	72720d1	121200bf1

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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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