Cremona's table of elliptic curves

Curve 18837j2

18837 = 32 · 7 · 13 · 23



Data for elliptic curve 18837j2

Field Data Notes
Atkin-Lehner 3- 7- 13+ 23- Signs for the Atkin-Lehner involutions
Class 18837j Isogeny class
Conductor 18837 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 23465232063 = 36 · 72 · 134 · 23 Discriminant
Eigenvalues  1 3-  0 7-  4 13+ -8  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-882,7105] [a1,a2,a3,a4,a6]
j 104154702625/32188247 j-invariant
L 2.2234253059176 L(r)(E,1)/r!
Ω 1.1117126529588 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2093d2 Quadratic twists by: -3


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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