Cremona's table of elliptic curves

24548 = 2² · 17 · 19²

Field	Data	Notes
Atkin-Lehner	2- 17+ 19-	Signs for the Atkin-Lehner involutions
Class	24548b	Isogeny class
Conductor	24548	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	43200	Modular degree for the optimal curve
Δ	-3890129808128 = -1 · 28 · 17 · 197	Discriminant
Eigenvalues	2- -1 -2  4  2 -6 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,3851,-24655]	[a1,a2,a3,a4,a6]
Generators	[32:361:1]	Generators of the group modulo torsion
j	524288/323	j-invariant
L	3.7690722994197	L(r)(E,1)/r!
Ω	0.45325795381775	Real period
R	0.69295939682786	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	98192n1 1292a1	Quadratic twists by: -4 -19

Hecke Eigenvalues for elliptic curve 24548b1

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
-	-1	-2	4	2	-6	+	-	0	-7	7	-2	-10	9	7	6	6	10	-14	0	6	-8	-13	6	-5

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Quadratic twists for elliptic curve 24548b1

-4	-19
98192n1	1292a1

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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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