Atkin-Lehner |
2- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
128516c |
Isogeny class |
Conductor |
128516 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1778400 |
Modular degree for the optimal curve |
Δ |
-654338369051509504 = -1 · 28 · 199 · 892 |
Discriminant |
Eigenvalues |
2- 2 3 -1 1 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-530429,-153524743] |
[a1,a2,a3,a4,a6] |
Generators |
[13488773386679055878367976:415564776111209302297063287:9598336878427266640384] |
Generators of the group modulo torsion |
j |
-199794688/7921 |
j-invariant |
L |
13.003665445417 |
L(r)(E,1)/r! |
Ω |
0.088247942928734 |
Real period |
R |
36.838437854349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128516b1 |
Quadratic twists by: -19 |