Atkin-Lehner |
3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177k |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1332000 |
Modular degree for the optimal curve |
Δ |
-1.413868063022E+20 |
Discriminant |
Eigenvalues |
1 3- 0 3 11- 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-976126,681881159] |
[a1,a2,a3,a4,a6] |
Generators |
[-801:31222:1] |
Generators of the group modulo torsion |
j |
-21390625/29403 |
j-invariant |
L |
10.342585000455 |
L(r)(E,1)/r! |
Ω |
0.16564143808264 |
Real period |
R |
6.2439599173819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45177l1 |
Quadratic twists by: 37 |