Atkin-Lehner |
2- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84656j |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688896 |
Modular degree for the optimal curve |
Δ |
-390047689867264 = -1 · 225 · 11 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 2 3 2 11+ 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-517824,-143254528] |
[a1,a2,a3,a4,a6] |
j |
-3748962776430234817/95226486784 |
j-invariant |
L |
6.4070155702704 |
L(r)(E,1)/r! |
Ω |
0.088986327463222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582j1 |
Quadratic twists by: -4 |