Cremona's table of elliptic curves

Curve 115920v1

115920 = 24 · 32 · 5 · 7 · 23



Data for elliptic curve 115920v1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 7- 23+ Signs for the Atkin-Lehner involutions
Class 115920v Isogeny class
Conductor 115920 Conductor
∏ cp 32 Product of Tamagawa factors cp
deg 2752512 Modular degree for the optimal curve
Δ -3.9161343018833E+19 Discriminant
Eigenvalues 2+ 3- 5+ 7-  0 -4 -8 -6 Hecke eigenvalues for primes up to 20
Equation [0,0,0,771117,150738082] [a1,a2,a3,a4,a6]
Generators [137:16092:1] Generators of the group modulo torsion
j 67929287623001276/52460218164375 j-invariant
L 5.0615671919365 L(r)(E,1)/r!
Ω 0.13123093557975 Real period
R 4.8212404603537 Regulator
r 1 Rank of the group of rational points
S 1.0000000043068 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 57960bo1 38640bb1 Quadratic twists by: -4 -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
Back to Tables and computations