Atkin-Lehner |
2- 3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370bb |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
219145010760000 = 26 · 312 · 54 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185747,-30758029] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:214:1] |
Generators of the group modulo torsion |
j |
972208505940329449/300610440000 |
j-invariant |
L |
11.312228325171 |
L(r)(E,1)/r! |
Ω |
0.22997326125432 |
Real period |
R |
1.0247774986858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790g2 |
Quadratic twists by: -3 |