Cremona's table of elliptic curves

4488 = 2³ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 17-	Signs for the Atkin-Lehner involutions
Class	4488j	Isogeny class
Conductor	4488	Conductor
∏ cp	560	Product of Tamagawa factors cp
deg	107520	Modular degree for the optimal curve
Δ	-4.6473288645116E+19	Discriminant
Eigenvalues	2- 3-  0 -3 11-  0 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1850553,-1023572133]	[a1,a2,a3,a4,a6]
Generators	[3321:171666:1]	Generators of the group modulo torsion
j	-2737717077365028736000/181536283769982867	j-invariant
L	4.124608902862	L(r)(E,1)/r!
Ω	0.064473991222446	Real period
R	0.11423789502054	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	8976b1 35904i1 13464e1 112200h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4488j1

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
-	-	0	-3	-	0	-	-2	-2	9	0	-2	-3	-6	-11	-3	7	6	-3	10	-11	0	-14	-15	-2

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Quadratic twists for elliptic curve 4488j1

-4	8	-3	5	-11	17
8976b1	35904i1	13464e1	112200h1	49368l1	76296k1

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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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