Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930bd |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
4460544 |
Modular degree for the optimal curve |
Δ |
-3.0346855107265E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -1 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,176322,263461581] |
[a1,a2,a3,a4,a6] |
Generators |
[1593:66915:1] [-57:15941:1] |
Generators of the group modulo torsion |
j |
4095232047999/204996608000 |
j-invariant |
L |
9.0663923410897 |
L(r)(E,1)/r! |
Ω |
0.15871286677274 |
Real period |
R |
0.64914198696857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910p1 |
Quadratic twists by: -23 |