Atkin-Lehner |
2+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
11726f |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-590239936 = -1 · 26 · 113 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 3 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,121,1021] |
[a1,a2,a3,a4,a6] |
Generators |
[6:41:1] |
Generators of the group modulo torsion |
j |
195011097399/590239936 |
j-invariant |
L |
3.9955241844731 |
L(r)(E,1)/r! |
Ω |
1.15027267974 |
Real period |
R |
0.28946210283057 |
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 |
93808w1 105534bc1 128986w1 |
Quadratic twists by: -4 -3 -11 |