Atkin-Lehner |
3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34485p |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16166667066680295 = -1 · 38 · 5 · 1110 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36600,-5488713] |
[a1,a2,a3,a4,a6] |
j |
3060624960359/9125662095 |
j-invariant |
L |
1.6054033748029 |
L(r)(E,1)/r! |
Ω |
0.20067542185223 |
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 |
103455n3 3135f4 |
Quadratic twists by: -3 -11 |