Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bi |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1361894823853424640 = 217 · 38 · 5 · 132 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2344376,1381261680] |
[a1,a2,a3,a4,a6] |
j |
347893047503553605689/332493853479840 |
j-invariant |
L |
1.0766212765604 |
L(r)(E,1)/r! |
Ω |
0.26915551586907 |
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 |
14430o3 |
Quadratic twists by: -4 |