Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200bm |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-1.6666946977357E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16502433,-25872145263] |
[a1,a2,a3,a4,a6] |
j |
-7765826776893057088/26042104652121 |
j-invariant |
L |
0.67401257483561 |
L(r)(E,1)/r! |
Ω |
0.037445131904808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200x1 4128g1 |
Quadratic twists by: -4 5 |