Atkin-Lehner |
13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86411l |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1542240 |
Modular degree for the optimal curve |
Δ |
-59571147873447899 = -1 · 135 · 178 · 23 |
Discriminant |
Eigenvalues |
0 3 -1 5 3 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-275128,-56773400] |
[a1,a2,a3,a4,a6] |
j |
-330169319424/8539739 |
j-invariant |
L |
6.2441581593655 |
L(r)(E,1)/r! |
Ω |
0.10406930576275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86411e1 |
Quadratic twists by: 17 |