Cremona's table of elliptic curves

Curve 81312bl3

81312 = 25 · 3 · 7 · 112



Data for elliptic curve 81312bl3

Field Data Notes
Atkin-Lehner 2- 3- 7+ 11- Signs for the Atkin-Lehner involutions
Class 81312bl Isogeny class
Conductor 81312 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 836637567929856 = 29 · 32 · 7 · 1110 Discriminant
Eigenvalues 2- 3-  2 7+ 11- -2  2 -8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-86192,9611160] [a1,a2,a3,a4,a6]
j 78073482824/922383 j-invariant
L 2.0124913128955 L(r)(E,1)/r!
Ω 0.50312282996674 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 81312k3 7392g2 Quadratic twists by: -4 -11


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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