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	4788c	Isogeny class
Conductor	4788	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1563722496 = 28 · 38 · 72 · 19	Discriminant
Eigenvalues	2- 3-  2 7+  2  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-44679,3634990]	[a1,a2,a3,a4,a6]
j	52852623679312/8379	j-invariant
L	2.3586310927481	L(r)(E,1)/r!
Ω	1.1793155463741	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	19152bs2 76608bi2 1596d2 119700bj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4788c2

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	+	2	2	-2	-	-6	0	8	6	0	8	6	0	0	10	4	-8	6	-8	-6	8	6

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Quadratic twists for elliptic curve 4788c2

-4	8	-3	5	-7	-19
19152bs2	76608bi2	1596d2	119700bj2	33516k2	90972c2

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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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