Atkin-Lehner |
3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271q |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-1.7038069836139E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-743688,316758519] |
[a1,a2,a3,a4,a6] |
Generators |
[495:-8613:1] |
Generators of the group modulo torsion |
j |
-9424014732015625/3529882751967 |
j-invariant |
L |
3.9654953095254 |
L(r)(E,1)/r! |
Ω |
0.20622108442358 |
Real period |
R |
1.0682966599527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867i1 |
Quadratic twists by: 13 |