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	4788f	Isogeny class
Conductor	4788	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	471598848 = 28 · 36 · 7 · 192	Discriminant
Eigenvalues	2- 3-  2 7- -4  4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-279,-1458]	[a1,a2,a3,a4,a6]
Generators	[-9:18:1]	Generators of the group modulo torsion
j	12869712/2527	j-invariant
L	4.2915685146767	L(r)(E,1)/r!
Ω	1.1841446884529	Real period
R	0.60403211371685	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	19152bn2 76608ch2 532a2 119700v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4788f2

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	-	-4	4	-6	-	-4	-6	4	-10	-4	-8	0	-10	4	14	-6	6	-2	-10	4	-12	-12

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Quadratic twists for elliptic curve 4788f2

-4	8	-3	5	-7	-19
19152bn2	76608ch2	532a2	119700v2	33516n2	90972l2

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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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