Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090bb |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
281976689700 = 22 · 310 · 52 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6773,214697] |
[a1,a2,a3,a4,a6] |
Generators |
[-546:5039:8] |
Generators of the group modulo torsion |
j |
47128030999561/386799300 |
j-invariant |
L |
9.1158695624847 |
L(r)(E,1)/r! |
Ω |
0.98082408745907 |
Real period |
R |
2.3235230652672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27030g1 |
Quadratic twists by: -3 |