Atkin-Lehner |
13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93119d |
Isogeny class |
Conductor |
93119 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-50531863421 = -1 · 136 · 192 · 29 |
Discriminant |
Eigenvalues |
-1 1 1 4 -1 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,250,-10687] |
[a1,a2,a3,a4,a6] |
j |
357911/10469 |
j-invariant |
L |
1.0873640900483 |
L(r)(E,1)/r! |
Ω |
0.54368213719439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
551a1 |
Quadratic twists by: 13 |