Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bs |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2676500840458137600 = 212 · 34 · 52 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-482416,102322816] |
[a1,a2,a3,a4,a6] |
j |
9393931/2025 |
j-invariant |
L |
0.96643463136132 |
L(r)(E,1)/r! |
Ω |
0.24160864775509 |
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 |
5415f2 86640da2 |
Quadratic twists by: -4 -19 |