Atkin-Lehner |
2+ 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
92752a |
Isogeny class |
Conductor |
92752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1335040 |
Modular degree for the optimal curve |
Δ |
524454159970563328 = 28 · 115 · 177 · 31 |
Discriminant |
Eigenvalues |
2+ -1 4 -1 11+ 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-254761,-35066107] |
[a1,a2,a3,a4,a6] |
j |
7143059806055332864/2048649062385013 |
j-invariant |
L |
1.9543328930888 |
L(r)(E,1)/r! |
Ω |
0.21714810944777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46376e1 |
Quadratic twists by: -4 |