Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
117056p |
Isogeny class |
Conductor |
117056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-213632646381568 = -1 · 225 · 31 · 593 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13292,917840] |
[a1,a2,a3,a4,a6] |
Generators |
[26:768:1] |
Generators of the group modulo torsion |
j |
-990728800209/814943872 |
j-invariant |
L |
3.3426967477652 |
L(r)(E,1)/r! |
Ω |
0.51474974889698 |
Real period |
R |
1.623457210874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999437448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117056c1 29264h1 |
Quadratic twists by: -4 8 |