Atkin-Lehner |
2- 3- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582w |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
1262104698570768 = 24 · 36 · 132 · 173 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-151349,22636221] |
[a1,a2,a3,a4,a6] |
Generators |
[213:62:1] |
Generators of the group modulo torsion |
j |
525935106358018057/1731282165392 |
j-invariant |
L |
11.532427569618 |
L(r)(E,1)/r! |
Ω |
0.48632428952263 |
Real period |
R |
2.9641814668213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398b1 |
Quadratic twists by: -3 |