Cremona's table of elliptic curves

4794 = 2 · 3 · 17 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 17+ 47+	Signs for the Atkin-Lehner involutions
Class	4794g	Isogeny class
Conductor	4794	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-5703556032 = -1 · 26 · 38 · 172 · 47	Discriminant
Eigenvalues	2- 3-  0  0 -6  0 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,67,3633]	[a1,a2,a3,a4,a6]
Generators	[-8:55:1]	Generators of the group modulo torsion
j	33230963375/5703556032	j-invariant
L	6.2059258112517	L(r)(E,1)/r!
Ω	1.0417049613283	Real period
R	0.24822790687851	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	38352i1 14382g1 119850k1 81498m1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4794g1

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

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Quadratic twists for elliptic curve 4794g1

-4	-3	5	17
38352i1	14382g1	119850k1	81498m1

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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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