Atkin-Lehner |
5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105485c |
Isogeny class |
Conductor |
105485 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
19953589944305125 = 53 · 177 · 733 |
Discriminant |
Eigenvalues |
0 -1 5- 4 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-225805,40812181] |
[a1,a2,a3,a4,a6] |
j |
52751251800064/826661125 |
j-invariant |
L |
2.3135976978639 |
L(r)(E,1)/r! |
Ω |
0.38559959057791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6205b1 |
Quadratic twists by: 17 |