Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075v |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-541670521640625 = -1 · 38 · 57 · 134 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17537,-672958] |
[a1,a2,a3,a4,a6] |
j |
38174032970711/34666913385 |
j-invariant |
L |
2.2802694824344 |
L(r)(E,1)/r! |
Ω |
0.28503368530619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108225x3 7215b4 |
Quadratic twists by: -3 5 |