Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176bw |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-188579129065472 = -1 · 232 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 1 4 1 -1 -4 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36161,-2740033] |
[a1,a2,a3,a4,a6] |
j |
-19948814692561/719372288 |
j-invariant |
L |
6.2185911348305 |
L(r)(E,1)/r! |
Ω |
0.17273865314372 |
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 |
122176e1 30544r1 |
Quadratic twists by: -4 8 |