Atkin-Lehner |
2- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550u |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1360800 |
Modular degree for the optimal curve |
Δ |
114667313750000000 = 27 · 510 · 113 · 413 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11+ -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42178763,105418412281] |
[a1,a2,a3,a4,a6] |
Generators |
[3719:1338:1] |
Generators of the group modulo torsion |
j |
849777417681010207225/11741932928 |
j-invariant |
L |
10.278285704197 |
L(r)(E,1)/r! |
Ω |
0.23576230463311 |
Real period |
R |
2.0759984389871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22550n1 |
Quadratic twists by: 5 |