Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127072u |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29440 |
Modular degree for the optimal curve |
Δ |
-424928768 = -1 · 29 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 1 0 1 11- -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,1000] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-38:1] |
Generators of the group modulo torsion |
j |
1000/121 |
j-invariant |
L |
7.2073652550591 |
L(r)(E,1)/r! |
Ω |
1.2886205713882 |
Real period |
R |
0.69913570005593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127072m1 127072f1 |
Quadratic twists by: -4 -19 |