Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200d |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
313600 |
Modular degree for the optimal curve |
Δ |
-13173327596000000 = -1 · 28 · 56 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11+ 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72033,-9290437] |
[a1,a2,a3,a4,a6] |
j |
-10333900063744/3293331899 |
j-invariant |
L |
0.28675480515156 |
L(r)(E,1)/r! |
Ω |
0.14337740306574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600g1 2288a1 |
Quadratic twists by: -4 5 |