Atkin-Lehner |
2+ 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11726c |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-59954848300711936 = -1 · 214 · 11 · 136 · 413 |
Discriminant |
Eigenvalues |
2+ -2 -3 -1 11+ 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,63110,10082220] |
[a1,a2,a3,a4,a6] |
Generators |
[317:7713:1] |
Generators of the group modulo torsion |
j |
27798934153765201127/59954848300711936 |
j-invariant |
L |
1.3491193823672 |
L(r)(E,1)/r! |
Ω |
0.24350478887407 |
Real period |
R |
1.3851055954642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93808bl1 105534br1 128986u1 |
Quadratic twists by: -4 -3 -11 |