Atkin-Lehner |
5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8075c |
Isogeny class |
Conductor |
8075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-33514404296875 = -1 · 514 · 172 · 19 |
Discriminant |
Eigenvalues |
1 2 5+ 4 -4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3000,284375] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/2144921875 |
j-invariant |
L |
4.4603770616721 |
L(r)(E,1)/r! |
Ω |
0.55754713270901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200cl2 72675u2 1615a2 |
Quadratic twists by: -4 -3 5 |