Cremona's table of elliptic curves

2146 = 2 · 29 · 37

Field	Data	Notes
Atkin-Lehner	2- 29+ 37-	Signs for the Atkin-Lehner involutions
Class	2146d	Isogeny class
Conductor	2146	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	-17168 = -1 · 24 · 29 · 37	Discriminant
Eigenvalues	2-  1 -2 -2  3  0 -3  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-14,20]	[a1,a2,a3,a4,a6]
Generators	[2:0:1]	Generators of the group modulo torsion
j	-304821217/17168	j-invariant
L	4.3968137585292	L(r)(E,1)/r!
Ω	3.8453590323591	Real period
R	0.28585196606673	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	17168i1 68672l1 19314g1 53650c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2146d1

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	-2	-2	3	0	-3	0	-8	+	-4	-	-4	0	8	1	-3	3	2	-6	-2	-2	-12	-7	-9

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Quadratic twists for elliptic curve 2146d1

-4	8	-3	5	-7	29	37
17168i1	68672l1	19314g1	53650c1	105154i1	62234b1	79402c1

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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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