Cremona's table of elliptic curves

5046 = 2 · 3 · 29²

Field	Data	Notes
Atkin-Lehner	2- 3+ 29-	Signs for the Atkin-Lehner involutions
Class	5046l	Isogeny class
Conductor	5046	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	5040	Modular degree for the optimal curve
Δ	65997804672 = 27 · 36 · 294	Discriminant
Eigenvalues	2- 3+ -2  1  0 -4 -1  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1279,12005]	[a1,a2,a3,a4,a6]
Generators	[89:-828:1]	Generators of the group modulo torsion
j	327163297/93312	j-invariant
L	4.3652810153158	L(r)(E,1)/r!
Ω	1.0249797026371	Real period
R	0.1014022638712	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40368br1 15138n1 126150bf1 5046e1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 5046l1

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	1	0	-4	-1	6	1	-	3	-10	-10	4	7	4	12	-8	0	-1	-17	-3	10	5	13

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Quadratic twists for elliptic curve 5046l1

-4	-3	5	29
40368br1	15138n1	126150bf1	5046e1

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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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