Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25432d |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
369920 |
Modular degree for the optimal curve |
Δ |
-4889266201015896832 = -1 · 28 · 115 · 179 |
Discriminant |
Eigenvalues |
2+ 2 0 3 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,163767,103226861] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:474:1] |
Generators of the group modulo torsion |
j |
16000000/161051 |
j-invariant |
L |
8.2055466033708 |
L(r)(E,1)/r! |
Ω |
0.17880554783397 |
Real period |
R |
5.7363618626295 |
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 |
50864t1 25432n1 |
Quadratic twists by: -4 17 |