Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81356h |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
13993232 = 24 · 11 · 433 |
Discriminant |
Eigenvalues |
2- -2 0 -3 11- 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1218,15961] |
[a1,a2,a3,a4,a6] |
Generators |
[14:43:1] |
Generators of the group modulo torsion |
j |
157216000/11 |
j-invariant |
L |
3.0389437562384 |
L(r)(E,1)/r! |
Ω |
2.1188989633297 |
Real period |
R |
0.2390348169511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81356g1 |
Quadratic twists by: -43 |