Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632o |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-130805870261248 = -1 · 210 · 76 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8869,-446586] |
[a1,a2,a3,a4,a6] |
Generators |
[51:372:1] |
Generators of the group modulo torsion |
j |
640412028/1085773 |
j-invariant |
L |
4.6709389956991 |
L(r)(E,1)/r! |
Ω |
0.30762006897678 |
Real period |
R |
3.7960291521679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1768e4 |
Quadratic twists by: -7 |