Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240ck |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-387843489792000 = -1 · 220 · 38 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11880,-801900] |
[a1,a2,a3,a4,a6] |
j |
45266459622119/94688352000 |
j-invariant |
L |
6.6732189799366 |
L(r)(E,1)/r! |
Ω |
0.27805079714623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530e1 |
Quadratic twists by: -4 |