Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700k |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-2.9076105962372E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11714133,-15449572863] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
2.0399496450506 |
L(r)(E,1)/r! |
Ω |
0.040798992807172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3468f1 5100o1 |
Quadratic twists by: 5 17 |