Atkin-Lehner |
11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26741a |
Isogeny class |
Conductor |
26741 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
333696 |
Modular degree for the optimal curve |
Δ |
-33282547197901859 = -1 · 119 · 132 · 174 |
Discriminant |
Eigenvalues |
2 -1 3 4 11+ 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16416,8734527] |
[a1,a2,a3,a4,a6] |
Generators |
[-24690:499573:216] |
Generators of the group modulo torsion |
j |
207474688/14115049 |
j-invariant |
L |
11.843710217157 |
L(r)(E,1)/r! |
Ω |
0.28131670504458 |
Real period |
R |
5.2626230529396 |
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 |
26741b1 |
Quadratic twists by: -11 |