Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235br |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
-1.0977697770355E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,497106,84802383] |
[a1,a2,a3,a4,a6] |
Generators |
[942:36789:1] |
Generators of the group modulo torsion |
j |
10519294081031/8500170375 |
j-invariant |
L |
4.8502514827828 |
L(r)(E,1)/r! |
Ω |
0.14669350416445 |
Real period |
R |
1.3776602381273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000193162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41745z1 1035g1 |
Quadratic twists by: -3 -11 |