Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638o |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-262217733184 = -1 · 26 · 114 · 234 |
Discriminant |
Eigenvalues |
2- 0 3 0 11+ -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1951,41799] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:246:1] |
Generators of the group modulo torsion |
j |
-2933428257/937024 |
j-invariant |
L |
7.8272782620359 |
L(r)(E,1)/r! |
Ω |
0.9280366541091 |
Real period |
R |
0.70285282980462 |
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 |
93104x1 104742bb1 128018d1 11638t1 |
Quadratic twists by: -4 -3 -11 -23 |