Cremona's table of elliptic curves

24720 = 2⁴ · 3 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 103-	Signs for the Atkin-Lehner involutions
Class	24720u	Isogeny class
Conductor	24720	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	4992	Modular degree for the optimal curve
Δ	-395520 = -1 · 28 · 3 · 5 · 103	Discriminant
Eigenvalues	2- 3- 5+ -3  2  6  1  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-236,1320]	[a1,a2,a3,a4,a6]
j	-5702413264/1545	j-invariant
L	2.9304106666851	L(r)(E,1)/r!
Ω	2.9304106666853	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	6180b1 98880bo1 74160by1 123600z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24720u1

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

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Quadratic twists for elliptic curve 24720u1

-4	8	-3	5
6180b1	98880bo1	74160by1	123600z1

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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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