Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127072f |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
559360 |
Modular degree for the optimal curve |
Δ |
-19991148252804608 = -1 · 29 · 112 · 199 |
Discriminant |
Eigenvalues |
2+ -1 0 1 11- 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11432,-6790156] |
[a1,a2,a3,a4,a6] |
j |
1000/121 |
j-invariant |
L |
1.4576517700446 |
L(r)(E,1)/r! |
Ω |
0.18220630053503 |
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 |
127072a1 127072u1 |
Quadratic twists by: -4 -19 |