Atkin-Lehner |
3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775s |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
571200 |
Modular degree for the optimal curve |
Δ |
-6081555458935546875 = -1 · 37 · 511 · 195 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -1 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,360967,84440219] |
[a1,a2,a3,a4,a6] |
j |
332893245351919616/389219549371875 |
j-invariant |
L |
2.232354467614 |
L(r)(E,1)/r! |
Ω |
0.15945389054415 |
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 |
98325bd1 6555a1 |
Quadratic twists by: -3 5 |