Atkin-Lehner |
2- 3+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128r |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
281600 |
Modular degree for the optimal curve |
Δ |
1241491525632 = 212 · 311 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19525,-1042259] |
[a1,a2,a3,a4,a6] |
Generators |
[6348:72991:27] |
Generators of the group modulo torsion |
j |
200982912126976/303098517 |
j-invariant |
L |
3.2115889993749 |
L(r)(E,1)/r! |
Ω |
0.40391434288352 |
Real period |
R |
7.9511635496153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133d1 |
Quadratic twists by: -4 |