Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120cx |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9755209728000 = 215 · 39 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5643,-63558] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:270:1] |
Generators of the group modulo torsion |
j |
2037123/1000 |
j-invariant |
L |
4.9577504252743 |
L(r)(E,1)/r! |
Ω |
0.57903642441729 |
Real period |
R |
2.1405175161263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999788469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890be2 87120dk1 87120cw2 |
Quadratic twists by: -4 -3 -11 |