Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656cf |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1991335698874368 = -1 · 214 · 34 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8672,-2121484] |
[a1,a2,a3,a4,a6] |
j |
9938375/274428 |
j-invariant |
L |
3.6051934405593 |
L(r)(E,1)/r! |
Ω |
0.22532459002879 |
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 |
5082t1 121968dq1 3696ba1 |
Quadratic twists by: -4 -3 -11 |