Atkin-Lehner |
2+ 3+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386d |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-1813266 = -1 · 2 · 35 · 7 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52,-182] |
[a1,a2,a3,a4,a6] |
j |
-16022066761/1813266 |
j-invariant |
L |
0.8811070893474 |
L(r)(E,1)/r! |
Ω |
0.88110708934738 |
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 |
67158by1 |
Quadratic twists by: -3 |