Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075v |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7320406640625 = 34 · 58 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5588,-94833] |
[a1,a2,a3,a4,a6] |
j |
1235030650489/468506025 |
j-invariant |
L |
2.2802694824344 |
L(r)(E,1)/r! |
Ω |
0.57006737061238 |
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 |
108225x2 7215b2 |
Quadratic twists by: -3 5 |