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	24720i	Isogeny class
Conductor	24720	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	435456	Modular degree for the optimal curve
Δ	-7047789130874880000 = -1 · 219 · 39 · 54 · 1033	Discriminant
Eigenvalues	2- 3+ 5+ -2 -3 -4  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-406056,-161830800]	[a1,a2,a3,a4,a6]
j	-1807684483034720809/1720651643280000	j-invariant
L	0.72816114833334	L(r)(E,1)/r!
Ω	0.091020143541659	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	3090c1 98880by1 74160bo1 123600cf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24720i1

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
-	+	+	-2	-3	-4	0	7	3	-3	7	-7	6	-2	12	-6	-6	-4	-8	-6	2	10	0	15	-13

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Quadratic twists for elliptic curve 24720i1

-4	8	-3	5
3090c1	98880by1	74160bo1	123600cf1

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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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