Cremona's table of elliptic curves

Curve 82668c2

82668 = 22 · 3 · 832



Data for elliptic curve 82668c2

Field Data Notes
Atkin-Lehner 2- 3- 83- Signs for the Atkin-Lehner involutions
Class 82668c Isogeny class
Conductor 82668 Conductor
∏ cp 12 Product of Tamagawa factors cp
Δ -1.4357011604547E+20 Discriminant
Eigenvalues 2- 3-  3  2 -3  4  0  7 Hecke eigenvalues for primes up to 20
Equation [0,1,0,741716,521674628] [a1,a2,a3,a4,a6]
j 539172272/1715361 j-invariant
L 6.2251858712716 L(r)(E,1)/r!
Ω 0.12969137171864 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 996c2 Quadratic twists by: -83


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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