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	1886c	Isogeny class
Conductor	1886	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-1748038360688 = -1 · 24 · 23 · 416	Discriminant
Eigenvalues	2+  0 -2  2  2 -2  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,527,63309]	[a1,a2,a3,a4,a6]
Generators	[-25:197:1]	Generators of the group modulo torsion
j	16169326314903/1748038360688	j-invariant
L	2.0601480766823	L(r)(E,1)/r!
Ω	0.64324876101665	Real period
R	1.067574579507	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	15088c2 60352h2 16974l2 47150i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1886c2

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	-2	2	2	-2	4	-2	-	2	0	2	-	-8	-12	8	12	-14	2	0	-6	-6	-16	-12	12

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Quadratic twists for elliptic curve 1886c2

-4	8	-3	5	-7	-23	41
15088c2	60352h2	16974l2	47150i2	92414h2	43378e2	77326d2

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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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