Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550ci |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-71261002968750 = -1 · 2 · 37 · 57 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21963,-1318833] |
[a1,a2,a3,a4,a6] |
j |
-74985951512809/4560704190 |
j-invariant |
L |
5.4711350418339 |
L(r)(E,1)/r! |
Ω |
0.19539768006561 |
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 |
97650bn1 6510a1 |
Quadratic twists by: -3 5 |