Cremona's table of elliptic curves

1892 = 2² · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 11+ 43-	Signs for the Atkin-Lehner involutions
Class	1892c	Isogeny class
Conductor	1892	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	1693181072 = 24 · 113 · 433	Discriminant
Eigenvalues	2- -2  0 -1 11+  2  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-298,-219]	[a1,a2,a3,a4,a6]
Generators	[-11:43:1]	Generators of the group modulo torsion
j	183530848000/105823817	j-invariant
L	2.1109903634477	L(r)(E,1)/r!
Ω	1.252087972565	Real period
R	0.56199202444302	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	7568m2 30272m2 17028p2 47300d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1892c2

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	0	-1	+	2	0	5	3	-3	5	-10	-6	-	3	3	9	-7	-13	0	2	-4	6	6	5

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Quadratic twists for elliptic curve 1892c2

-4	8	-3	5	-7	-11	-43
7568m2	30272m2	17028p2	47300d2	92708g2	20812h2	81356c2

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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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