Atkin-Lehner |
3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075l |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
237799072265625 = 34 · 514 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25501,1378523] |
[a1,a2,a3,a4,a6] |
j |
117368306527681/15219140625 |
j-invariant |
L |
2.1455215668121 |
L(r)(E,1)/r! |
Ω |
0.53638039169851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225j1 7215e1 |
Quadratic twists by: -3 5 |