Atkin-Lehner |
5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11825b |
Isogeny class |
Conductor |
11825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
923828125 = 59 · 11 · 43 |
Discriminant |
Eigenvalues |
2 1 5+ 4 11+ -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-258,-731] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:69:8] |
Generators of the group modulo torsion |
j |
122023936/59125 |
j-invariant |
L |
10.897708475735 |
L(r)(E,1)/r! |
Ω |
1.2501312784576 |
Real period |
R |
4.3586256353736 |
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 |
106425o1 2365d1 |
Quadratic twists by: -3 5 |