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	4794a	Isogeny class
Conductor	4794	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	24334344 = 23 · 34 · 17 · 472	Discriminant
Eigenvalues	2+ 3+ -2  0  4  4 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-716,7080]	[a1,a2,a3,a4,a6]
Generators	[3:69:1]	Generators of the group modulo torsion
j	40682738496457/24334344	j-invariant
L	2.1696553667552	L(r)(E,1)/r!
Ω	2.1044730411133	Real period
R	1.0309732291023	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	38352q2 14382k2 119850cn2 81498f2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4794a2

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

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Quadratic twists for elliptic curve 4794a2

-4	-3	5	17
38352q2	14382k2	119850cn2	81498f2

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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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