Atkin-Lehner |
2- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23180a |
Isogeny class |
Conductor |
23180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4636000000 = 28 · 56 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6223,-188922] |
[a1,a2,a3,a4,a6] |
j |
104107771396944/18109375 |
j-invariant |
L |
1.0750635398932 |
L(r)(E,1)/r! |
Ω |
0.53753176994662 |
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 |
92720r2 115900a2 |
Quadratic twists by: -4 5 |