Atkin-Lehner |
2- 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370w |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
4.7012049344065E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60848888,182707409531] |
[a1,a2,a3,a4,a6] |
Generators |
[2871:176521:1] |
Generators of the group modulo torsion |
j |
34178587852389531849862201/644884078793760000 |
j-invariant |
L |
8.7922823677443 |
L(r)(E,1)/r! |
Ω |
0.15301356978968 |
Real period |
R |
0.44891251211223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790i4 |
Quadratic twists by: -3 |