Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725a |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6.8591386367342E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51856523,-144265906237] |
[a1,a2,a3,a4,a6] |
Generators |
[3704116236846751821199693831013007123:320174516408712110584884884473366793128:295621058210928359135106126997171] |
Generators of the group modulo torsion |
j |
-756218111874334720/3363432789843 |
j-invariant |
L |
3.0219982207609 |
L(r)(E,1)/r! |
Ω |
0.02812244901196 |
Real period |
R |
53.729286156332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725cf2 88725o2 |
Quadratic twists by: 5 13 |