Cremona's table of elliptic curves

1886 = 2 · 23 · 41

Field	Data	Notes
Atkin-Lehner	2+ 23- 41-	Signs for the Atkin-Lehner involutions
Class	1886d	Isogeny class
Conductor	1886	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	154652 = 22 · 23 · 412	Discriminant
Eigenvalues	2+  2 -2  0  0 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-491,-4399]	[a1,a2,a3,a4,a6]
Generators	[79:637:1]	Generators of the group modulo torsion
j	13132563308857/154652	j-invariant
L	2.7045508399132	L(r)(E,1)/r!
Ω	1.0139449556597	Real period
R	2.6673546969357	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15088d2 60352i2 16974k2 47150j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1886d2

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	-2	0	0	-2	0	0	-	2	-4	-6	-	-4	10	-4	-12	2	-4	-6	-10	-8	12	0	-8

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Quadratic twists for elliptic curve 1886d2

-4	8	-3	5	-7	-23	41
15088d2	60352i2	16974k2	47150j2	92414j2	43378h2	77326g2

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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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