Atkin-Lehner |
2- 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
84162y |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
205920 |
Modular degree for the optimal curve |
Δ |
6499742384928 = 25 · 3 · 138 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9383,-328407] |
[a1,a2,a3,a4,a6] |
j |
111996625/7968 |
j-invariant |
L |
7.3088432883346 |
L(r)(E,1)/r! |
Ω |
0.48725622499779 |
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 |
84162d1 |
Quadratic twists by: 13 |