Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405br |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
87910274025 = 36 · 52 · 76 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9564,362123] |
[a1,a2,a3,a4,a6] |
Generators |
[122:939:1] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
8.1806167683577 |
L(r)(E,1)/r! |
Ω |
1.0688824144219 |
Real period |
R |
3.8267150137421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10045d1 1845c1 |
Quadratic twists by: -3 -7 |