Atkin-Lehner |
3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9405g |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-21803199181179075 = -1 · 37 · 52 · 115 · 195 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 11+ -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2569323,1585187109] |
[a1,a2,a3,a4,a6] |
j |
-2573074125787029999616/29908366503675 |
j-invariant |
L |
2.7739516614016 |
L(r)(E,1)/r! |
Ω |
0.3467439576752 |
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 |
3135h2 47025p2 103455u2 |
Quadratic twists by: -3 5 -11 |