Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018bm |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-907166784392 = -1 · 23 · 118 · 232 |
Discriminant |
Eigenvalues |
2- -3 0 0 11- -2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-870,-46659] |
[a1,a2,a3,a4,a6] |
Generators |
[47:97:1] [662:4989:8] |
Generators of the group modulo torsion |
j |
-77625/968 |
j-invariant |
L |
11.382316818794 |
L(r)(E,1)/r! |
Ω |
0.37770102521243 |
Real period |
R |
2.5113154014218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638n1 128018bl1 |
Quadratic twists by: -11 -23 |