Atkin-Lehner |
5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69575h |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-1989546044921875 = -1 · 511 · 116 · 23 |
Discriminant |
Eigenvalues |
2 0 5+ 1 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,21175,1788531] |
[a1,a2,a3,a4,a6] |
j |
37933056/71875 |
j-invariant |
L |
2.569324118729 |
L(r)(E,1)/r! |
Ω |
0.32116551405519 |
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 |
13915e1 575b1 |
Quadratic twists by: 5 -11 |