Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127072q |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-19991148252804608 = -1 · 29 · 112 · 199 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 11+ 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37664,-7374040] |
[a1,a2,a3,a4,a6] |
Generators |
[443:7942:1] |
Generators of the group modulo torsion |
j |
-245314376/829939 |
j-invariant |
L |
5.6167567155864 |
L(r)(E,1)/r! |
Ω |
0.1575595948116 |
Real period |
R |
2.2280286532344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127072x1 6688b1 |
Quadratic twists by: -4 -19 |