Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fo |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18800640 |
Modular degree for the optimal curve |
Δ |
-1.7910662580457E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -1 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-290776395,-1908476593670] |
[a1,a2,a3,a4,a6] |
j |
-36422828671263791996785/239929786368 |
j-invariant |
L |
4.6797178865251 |
L(r)(E,1)/r! |
Ω |
0.018280150706751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950cm1 37200dj1 111600gy1 |
Quadratic twists by: -4 -3 5 |