Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ef |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1398969335808000 = -1 · 220 · 36 · 53 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87483,10120682] |
[a1,a2,a3,a4,a6] |
j |
-1693700041/32000 |
j-invariant |
L |
2.883729482104 |
L(r)(E,1)/r! |
Ω |
0.48062159039314 |
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 |
10890bq1 9680ba1 87120eh1 |
Quadratic twists by: -4 -3 -11 |