Cremona's table of elliptic curves

2448 = 2⁴ · 3² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 17-	Signs for the Atkin-Lehner involutions
Class	2448h	Isogeny class
Conductor	2448	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-7154443604736 = -1 · 28 · 39 · 175	Discriminant
Eigenvalues	2+ 3- -3  0 -1  3 17- -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,4596,-46676]	[a1,a2,a3,a4,a6]
Generators	[41:459:1]	Generators of the group modulo torsion
j	57530252288/38336139	j-invariant
L	2.7375218314575	L(r)(E,1)/r!
Ω	0.42398215945332	Real period
R	0.32283455452315	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	1224e1 9792cb1 816d1 61200z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2448h1

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	0	-1	3	-	-1	7	-6	2	-4	-9	1	10	2	-6	-12	4	-12	-10	-2	-14	-4	12

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Quadratic twists for elliptic curve 2448h1

-4	8	-3	5	-7	17
1224e1	9792cb1	816d1	61200z1	119952bb1	41616z1

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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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