Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92055u |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-270112671421875 = -1 · 33 · 56 · 173 · 194 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -3 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-70515,7227056] |
[a1,a2,a3,a4,a6] |
Generators |
[10:21371:8] |
Generators of the group modulo torsion |
j |
-297550029684736/2072671875 |
j-invariant |
L |
8.2393774120871 |
L(r)(E,1)/r! |
Ω |
0.55369684263819 |
Real period |
R |
2.4801108910756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919897 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92055h1 |
Quadratic twists by: -19 |