Cremona's table of elliptic curves

23826 = 2 · 3 · 11 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 19-	Signs for the Atkin-Lehner involutions
Class	23826bl	Isogeny class
Conductor	23826	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-27447552 = -1 · 28 · 33 · 11 · 192	Discriminant
Eigenvalues	2- 3-  2 -3 11-  2  1 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-112,512]	[a1,a2,a3,a4,a6]
Generators	[8:8:1]	Generators of the group modulo torsion
j	-430638553/76032	j-invariant
L	10.449087726746	L(r)(E,1)/r!
Ω	2.0265962844676	Real period
R	0.21483245509623	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	71478p1 23826h1	Quadratic twists by: -3 -19

Hecke Eigenvalues for elliptic curve 23826bl1

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	-3	-	2	1	-	-7	-5	-4	-6	-6	5	3	8	-12	-6	-6	-1	-6	-8	-2	-2	1

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Quadratic twists for elliptic curve 23826bl1

-3	-19
71478p1	23826h1

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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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