Atkin-Lehner |
3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
103155n |
Isogeny class |
Conductor |
103155 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-39384313934665635 = -1 · 34 · 5 · 134 · 237 |
Discriminant |
Eigenvalues |
2 3- 5- -1 6 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,33680,9258259] |
[a1,a2,a3,a4,a6] |
j |
28540399616/266045715 |
j-invariant |
L |
8.5331092169262 |
L(r)(E,1)/r! |
Ω |
0.26665967493931 |
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 |
4485f1 |
Quadratic twists by: -23 |