Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fn |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
47215215083520 = 215 · 39 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17787,851114] |
[a1,a2,a3,a4,a6] |
Generators |
[55:198:1] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
8.1580189664668 |
L(r)(E,1)/r! |
Ω |
0.62323766587354 |
Real period |
R |
1.09081166205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890cb1 29040by1 87120fs1 |
Quadratic twists by: -4 -3 -11 |