Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150d |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-54185625000000 = -1 · 26 · 33 · 510 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 5 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9258,-91084] |
[a1,a2,a3,a4,a6] |
j |
332801325/205504 |
j-invariant |
L |
2.9097344476034 |
L(r)(E,1)/r! |
Ω |
0.36371688344583 |
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 |
111150cz1 111150dr1 |
Quadratic twists by: -3 5 |