Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fq |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
2.7651118561513E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89359347,325032337586] |
[a1,a2,a3,a4,a6] |
Generators |
[2057:387200:1] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
8.3877815821574 |
L(r)(E,1)/r! |
Ω |
0.11616549131683 |
Real period |
R |
0.60171208329236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890y1 29040ca1 87120fw1 |
Quadratic twists by: -4 -3 -11 |