Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
85305y |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-426525 = -1 · 3 · 52 · 112 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 0 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3,31] |
[a1,a2,a3,a4,a6] |
j |
-14641/3525 |
j-invariant |
L |
4.8588022297126 |
L(r)(E,1)/r! |
Ω |
2.4294011099836 |
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 |
85305ba1 |
Quadratic twists by: -11 |