Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11800b |
Isogeny class |
Conductor |
11800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-944000000 = -1 · 210 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 6 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,-4250] |
[a1,a2,a3,a4,a6] |
Generators |
[31:104:1] |
Generators of the group modulo torsion |
j |
-740772/59 |
j-invariant |
L |
2.7883290854039 |
L(r)(E,1)/r! |
Ω |
0.5090003775376 |
Real period |
R |
2.7390245748864 |
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 |
23600f1 94400z1 106200bi1 472d1 |
Quadratic twists by: -4 8 -3 5 |