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	8	Product of Tamagawa factors cp
Δ	2255642670419712 = 28 · 320 · 7 · 192	Discriminant
Eigenvalues	2- 3-  0 7+ -2  2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-114735,14783078]	[a1,a2,a3,a4,a6]
Generators	[166:558:1]	Generators of the group modulo torsion
j	895043160898000/12086562663	j-invariant
L	3.6570473202424	L(r)(E,1)/r!
Ω	0.46287278993716	Real period
R	3.9503805362364	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	19152bw2 76608bp2 1596a2 119700ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4788a2

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 4788a2

-4	8	-3	5	-7	-19
19152bw2	76608bp2	1596a2	119700ba2	33516r2	90972b2

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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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