Cremona's table of elliptic curves

Curve 51600ds2

51600 = 24 · 3 · 52 · 43



Data for elliptic curve 51600ds2

Field Data Notes
Atkin-Lehner 2- 3- 5- 43- Signs for the Atkin-Lehner involutions
Class 51600ds Isogeny class
Conductor 51600 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ -8320500000000 = -1 · 28 · 32 · 59 · 432 Discriminant
Eigenvalues 2- 3- 5-  0 -2 -4  6  2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-4708,-187912] [a1,a2,a3,a4,a6]
Generators [666360433:8564783250:3442951] Generators of the group modulo torsion
j -23086352/16641 j-invariant
L 7.3122969736952 L(r)(E,1)/r!
Ω 0.27933550425865 Real period
R 13.088735341907 Regulator
r 1 Rank of the group of rational points
S 1.0000000000022 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 12900g2 51600cc2 Quadratic twists by: -4 5


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