Cremona's table of elliptic curves

24480 = 2⁵ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	24480l	Isogeny class
Conductor	24480	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-121352256000000 = -1 · 212 · 38 · 56 · 172	Discriminant
Eigenvalues	2+ 3- 5+  4 -6 -6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-25068,1616992]	[a1,a2,a3,a4,a6]
Generators	[66:-500:1]	Generators of the group modulo torsion
j	-583438782016/40640625	j-invariant
L	5.007585340069	L(r)(E,1)/r!
Ω	0.57869115386573	Real period
R	1.0816618905045	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	24480bc2 48960dg1 8160q2 122400dj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24480l2

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

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Quadratic twists for elliptic curve 24480l2

-4	8	-3	5
24480bc2	48960dg1	8160q2	122400dj2

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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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