Atkin-Lehner |
2- 3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
71094z |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-151755956850198924 = -1 · 22 · 33 · 1711 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37576,18948044] |
[a1,a2,a3,a4,a6] |
j |
-243087455521/6287126796 |
j-invariant |
L |
3.2650585549429 |
L(r)(E,1)/r! |
Ω |
0.27208821589475 |
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 |
4182e1 |
Quadratic twists by: 17 |