Cremona's table of elliptic curves

Curve 70992x1

70992 = 24 · 32 · 17 · 29



Data for elliptic curve 70992x1

Field Data Notes
Atkin-Lehner 2- 3- 17+ 29- Signs for the Atkin-Lehner involutions
Class 70992x Isogeny class
Conductor 70992 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 768000 Modular degree for the optimal curve
Δ -866431738307948544 = -1 · 212 · 311 · 175 · 292 Discriminant
Eigenvalues 2- 3- -1  2 -3 -1 17+ -5 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-874128,317737136] [a1,a2,a3,a4,a6]
j -24737814642405376/290166236091 j-invariant
L 1.1285980122113 L(r)(E,1)/r!
Ω 0.28214950879844 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 4437h1 23664j1 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