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	2146a	Isogeny class
Conductor	2146	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	-2540864 = -1 · 26 · 29 · 372	Discriminant
Eigenvalues	2+ -1 -1 -4 -3 -3 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,2,-76]	[a1,a2,a3,a4,a6]
Generators	[4:2:1] [7:15:1]	Generators of the group modulo torsion
j	357911/2540864	j-invariant
L	2.1791328892546	L(r)(E,1)/r!
Ω	1.1881555115493	Real period
R	0.4585117158637	Regulator
r	2	Rank of the group of rational points
S	1.0000000000005	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17168j1 68672e1 19314m1 53650k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2146a1

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	-1	-4	-3	-3	-6	-4	-2	-	-1	+	4	-1	-3	-11	4	-8	2	0	-2	5	8	-12	-12

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Quadratic twists for elliptic curve 2146a1

-4	8	-3	5	-7	29	37
17168j1	68672e1	19314m1	53650k1	105154e1	62234j1	79402g1

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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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