Atkin-Lehner |
2- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904v |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
351862784 = 216 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1811,29650] |
[a1,a2,a3,a4,a6] |
j |
160368517737/85904 |
j-invariant |
L |
1.6819065473592 |
L(r)(E,1)/r! |
Ω |
1.681906533138 |
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 |
10738a1 |
Quadratic twists by: -4 |