Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127072n |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
425600 |
Modular degree for the optimal curve |
Δ |
227172139236416 = 26 · 11 · 199 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29722,-1824240] |
[a1,a2,a3,a4,a6] |
j |
140608/11 |
j-invariant |
L |
3.2886593671513 |
L(r)(E,1)/r! |
Ω |
0.36540674903862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127072i1 127072d1 |
Quadratic twists by: -4 -19 |