Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bf |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-12365490456 = -1 · 23 · 39 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 11+ 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,538,-2483] |
[a1,a2,a3,a4,a6] |
Generators |
[91:845:1] |
Generators of the group modulo torsion |
j |
658503/472 |
j-invariant |
L |
11.326140805403 |
L(r)(E,1)/r! |
Ω |
0.71252056925597 |
Real period |
R |
1.3246565854413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128502a1 128502c1 |
Quadratic twists by: -3 -11 |