Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cc |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1367750240212482 = -1 · 2 · 310 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11255,-1834927] |
[a1,a2,a3,a4,a6] |
j |
-765625/6642 |
j-invariant |
L |
3.6591866990705 |
L(r)(E,1)/r! |
Ω |
0.20328814994889 |
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 |
12054p1 36162bx1 |
Quadratic twists by: -3 -7 |