Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cw |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-61511562 = -1 · 2 · 37 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22,-381] |
[a1,a2,a3,a4,a6] |
j |
4913/246 |
j-invariant |
L |
7.5455964977245 |
L(r)(E,1)/r! |
Ω |
0.94319956222149 |
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 |
12054j1 36162de1 |
Quadratic twists by: -3 -7 |