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	24480u	Isogeny class
Conductor	24480	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	7168	Modular degree for the optimal curve
Δ	-202253760 = -1 · 26 · 37 · 5 · 172	Discriminant
Eigenvalues	2+ 3- 5- -2  0  4 17-  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-57,704]	[a1,a2,a3,a4,a6]
j	-438976/4335	j-invariant
L	3.0441103984278	L(r)(E,1)/r!
Ω	1.5220551992139	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24480s1 48960ey1 8160g1 122400cv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24480u1

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	0	4	-	8	0	6	4	6	12	6	-8	6	6	2	-2	-14	-4	0	12	-6	8

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Quadratic twists for elliptic curve 24480u1

-4	8	-3	5
24480s1	48960ey1	8160g1	122400cv1

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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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