Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330u |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
16727040 |
Modular degree for the optimal curve |
Δ |
1.281900405801E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 11- -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-495896743,-4250326856993] |
[a1,a2,a3,a4,a6] |
Generators |
[-156427531:78891650:12167] |
Generators of the group modulo torsion |
j |
62915260296969646648929/59801600000 |
j-invariant |
L |
4.7981208014461 |
L(r)(E,1)/r! |
Ω |
0.03199276241041 |
Real period |
R |
8.3319553116992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330g1 |
Quadratic twists by: -11 |