Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92055b |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-123300991307263095 = -1 · 316 · 5 · 174 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,123749,-2109016] |
[a1,a2,a3,a4,a6] |
Generators |
[11892:1291516:1] |
Generators of the group modulo torsion |
j |
30555386696834189/17976525923205 |
j-invariant |
L |
3.0770762996513 |
L(r)(E,1)/r! |
Ω |
0.19413742364446 |
Real period |
R |
7.9249952309634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999563986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92055n1 |
Quadratic twists by: -19 |