Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600ft |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-10413619200000000 = -1 · 217 · 38 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2278875,-1324133750] |
[a1,a2,a3,a4,a6] |
j |
-1122115892665/8928 |
j-invariant |
L |
2.9490386318515 |
L(r)(E,1)/r! |
Ω |
0.061438305011574 |
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 |
13950cz1 37200dn1 111600ds1 |
Quadratic twists by: -4 -3 5 |