Atkin-Lehner |
2- 3- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774v |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
-13569561990144 = -1 · 210 · 32 · 176 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 3 1 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9254,384996] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1654:1] |
Generators of the group modulo torsion |
j |
-3630961153/562176 |
j-invariant |
L |
18.069093114505 |
L(r)(E,1)/r! |
Ω |
0.68200256001115 |
Real period |
R |
0.66235429967733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366g1 |
Quadratic twists by: 17 |