Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852n |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-9223492055248944 = -1 · 24 · 310 · 11 · 316 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74317,-9088960] |
[a1,a2,a3,a4,a6] |
Generators |
[11311492:327883590:12167] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
11.548505377721 |
L(r)(E,1)/r! |
Ω |
0.14301312379393 |
Real period |
R |
8.0751367138893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
132b1 |
Quadratic twists by: -31 |