Atkin-Lehner |
2+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850p |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-53130035200000000 = -1 · 224 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11- 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-184575,32397125] |
[a1,a2,a3,a4,a6] |
j |
-1780270458080665/136012890112 |
j-invariant |
L |
4.175629454083 |
L(r)(E,1)/r! |
Ω |
0.34796912117474 |
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 |
36850t1 |
Quadratic twists by: 5 |