Cremona's table of elliptic curves

3146 = 2 · 11² · 13

Field	Data	Notes
Atkin-Lehner	2- 11- 13+	Signs for the Atkin-Lehner involutions
Class	3146l	Isogeny class
Conductor	3146	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-11791510016 = -1 · 29 · 116 · 13	Discriminant
Eigenvalues	2-  1 -3  1 11- 13+  3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-55602,5041796]	[a1,a2,a3,a4,a6]
Generators	[142:50:1]	Generators of the group modulo torsion
j	-10730978619193/6656	j-invariant
L	4.9085773925361	L(r)(E,1)/r!
Ω	1.0490615319373	Real period
R	0.2599454233406	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	25168bb3 100672bs3 28314v3 78650p3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3146l3

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
-	1	-3	1	-	+	3	-2	0	-6	-4	-7	0	1	3	0	-6	-8	14	-3	-2	-8	-12	-6	-10

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Quadratic twists for elliptic curve 3146l3

-4	8	-3	5	-11	13
25168bb3	100672bs3	28314v3	78650p3	26a2	40898i3

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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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