Cremona's table of elliptic curves

5166 = 2 · 3² · 7 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 41-	Signs for the Atkin-Lehner involutions
Class	5166q	Isogeny class
Conductor	5166	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-103400935722 = -1 · 2 · 37 · 73 · 413	Discriminant
Eigenvalues	2+ 3-  0 7-  3 -4 -6  5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1098,-6858]	[a1,a2,a3,a4,a6]
j	200715401375/141839418	j-invariant
L	1.1962314545732	L(r)(E,1)/r!
Ω	0.5981157272866	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	41328bh2 1722q2 129150cu2 36162n2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5166q2

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	-	3	-4	-6	5	-9	-6	5	2	-	11	3	12	9	5	2	12	-4	-13	12	-6	-13

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Quadratic twists for elliptic curve 5166q2

-4	-3	5	-7
41328bh2	1722q2	129150cu2	36162n2

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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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