Atkin-Lehner |
2- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120u |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-18023555000000 = -1 · 26 · 57 · 112 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11+ 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5131,250181] |
[a1,a2,a3,a4,a6] |
j |
-233471794110976/281618046875 |
j-invariant |
L |
1.2491092625217 |
L(r)(E,1)/r! |
Ω |
0.62455448706904 |
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 |
109120bd1 54560e1 |
Quadratic twists by: -4 8 |