Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bj |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
24482304 |
Modular degree for the optimal curve |
Δ |
2.9927880851292E+24 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61190964,164380338576] |
[a1,a2,a3,a4,a6] |
Generators |
[87600:25782924:1] |
Generators of the group modulo torsion |
j |
6029395229781068929/712137929845056 |
j-invariant |
L |
5.7278490573242 |
L(r)(E,1)/r! |
Ω |
0.077470770885329 |
Real period |
R |
0.56011829045801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cs1 126126da1 |
Quadratic twists by: -3 -7 |