Cremona's table of elliptic curves

4788 = 2² · 3² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	4788a	Isogeny class
Conductor	4788	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-162894633863472 = -1 · 24 · 313 · 72 · 194	Discriminant
Eigenvalues	2- 3-  0 7+ -2  2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1020,614189]	[a1,a2,a3,a4,a6]
Generators	[-77:486:1]	Generators of the group modulo torsion
j	-10061824000/13965589323	j-invariant
L	3.6570473202424	L(r)(E,1)/r!
Ω	0.46287278993716	Real period
R	1.9751902681182	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	19152bw1 76608bp1 1596a1 119700ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4788a1

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	+	-2	2	0	+	-2	6	8	-6	0	12	-8	-14	-8	-2	0	6	-2	4	-16	-16	-2

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Quadratic twists for elliptic curve 4788a1

-4	8	-3	5	-7	-19
19152bw1	76608bp1	1596a1	119700ba1	33516r1	90972b1

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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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