Atkin-Lehner |
3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715f |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-217875 = -1 · 3 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -2 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-155,-694] |
[a1,a2,a3,a4,a6] |
j |
-414493474816/217875 |
j-invariant |
L |
2.028434347273 |
L(r)(E,1)/r! |
Ω |
0.67614478242432 |
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 |
26145h1 43575j1 61005p1 |
Quadratic twists by: -3 5 -7 |