Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360be |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-3.6021067485964E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-820856,-406872225] |
[a1,a2,a3,a4,a6] |
j |
-158384129218816/93270234375 |
j-invariant |
L |
1.5443609281481 |
L(r)(E,1)/r! |
Ω |
0.077218046442053 |
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 |
34680bf1 4080j1 |
Quadratic twists by: -4 17 |