Atkin-Lehner |
2- 3- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814bi |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-1166513467392 = -1 · 212 · 310 · 7 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-824,-52549] |
[a1,a2,a3,a4,a6] |
j |
-84778086457/1600155648 |
j-invariant |
L |
4.4812187537654 |
L(r)(E,1)/r! |
Ω |
0.37343490082782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28938f1 |
Quadratic twists by: -3 |