Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162ce |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-24906488396832 = -1 · 25 · 318 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7015,-82407] |
[a1,a2,a3,a4,a6] |
j |
1068910070375/697250592 |
j-invariant |
L |
3.8355690926147 |
L(r)(E,1)/r! |
Ω |
0.38355690925913 |
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 |
12054e1 36162by1 |
Quadratic twists by: -3 -7 |