Atkin-Lehner |
2- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90304v |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-26097856 = -1 · 26 · 173 · 83 |
Discriminant |
Eigenvalues |
2- -2 1 0 -2 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35,247] |
[a1,a2,a3,a4,a6] |
Generators |
[6:17:1] [22:103:1] |
Generators of the group modulo torsion |
j |
-76225024/407779 |
j-invariant |
L |
8.0126646904465 |
L(r)(E,1)/r! |
Ω |
1.8319551746981 |
Real period |
R |
1.4579440954752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304u1 45152g1 |
Quadratic twists by: -4 8 |