Atkin-Lehner |
3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487j |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-13395857498127 = -1 · 310 · 136 · 47 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3074,-187144] |
[a1,a2,a3,a4,a6] |
j |
-912673/3807 |
j-invariant |
L |
2.3357683046808 |
L(r)(E,1)/r! |
Ω |
0.29197104139128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23829k1 423c1 |
Quadratic twists by: -3 13 |