Atkin-Lehner |
2- 3- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
91632u |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
39585024 = 28 · 34 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 2 -4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,-489] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:1] [-5:6:1] |
Generators of the group modulo torsion |
j |
850518016/154629 |
j-invariant |
L |
12.880676720039 |
L(r)(E,1)/r! |
Ω |
1.4447242809346 |
Real period |
R |
1.1144580397296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22908b1 |
Quadratic twists by: -4 |