Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92055t |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-1753977473059275 = -1 · 35 · 52 · 17 · 198 |
Discriminant |
Eigenvalues |
0 3- 5- 2 1 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9145,-2045951] |
[a1,a2,a3,a4,a6] |
Generators |
[431:8617:1] |
Generators of the group modulo torsion |
j |
-4980736/103275 |
j-invariant |
L |
8.3971157785181 |
L(r)(E,1)/r! |
Ω |
0.20338442850081 |
Real period |
R |
4.1286915773904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92055g1 |
Quadratic twists by: -19 |