Atkin-Lehner |
3- 5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112575g |
Isogeny class |
Conductor |
112575 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-717811471330171875 = -1 · 318 · 56 · 19 · 792 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 5 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,105567,-38530456] |
[a1,a2,a3,a4,a6] |
j |
8326914628124672/45939934165131 |
j-invariant |
L |
5.1550105175602 |
L(r)(E,1)/r! |
Ω |
0.14319472473718 |
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 |
4503a1 |
Quadratic twists by: 5 |