Cremona's table of elliptic curves

Curve 115851t2

115851 = 3 · 232 · 73



Data for elliptic curve 115851t2

Field Data Notes
Atkin-Lehner 3- 23- 73+ Signs for the Atkin-Lehner involutions
Class 115851t Isogeny class
Conductor 115851 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 51450317329617 = 32 · 238 · 73 Discriminant
Eigenvalues  1 3- -4  2  2 -2  0  8 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-1853363,971000777] [a1,a2,a3,a4,a6]
Generators [2156994:-1075045:2744] Generators of the group modulo torsion
j 4755955967570809/347553 j-invariant
L 7.7363545386295 L(r)(E,1)/r!
Ω 0.48064139565192 Real period
R 8.0479486647668 Regulator
r 1 Rank of the group of rational points
S 0.99999999765941 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 5037h2 Quadratic twists by: -23


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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