Atkin-Lehner |
2+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570i |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-34054875146240 = -1 · 211 · 5 · 137 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 -6 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6588,193744] |
[a1,a2,a3,a4,a6] |
j |
6549699311/7055360 |
j-invariant |
L |
1.735874307975 |
L(r)(E,1)/r! |
Ω |
0.43396852956746 |
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 |
6890m1 |
Quadratic twists by: 13 |