Atkin-Lehner |
5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175f |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-14919865296875 = -1 · 56 · 72 · 117 |
Discriminant |
Eigenvalues |
0 3 5+ 7+ 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6050,-41594] |
[a1,a2,a3,a4,a6] |
j |
884736/539 |
j-invariant |
L |
3.2516008022632 |
L(r)(E,1)/r! |
Ω |
0.4064501002829 |
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 |
847b1 1925d1 |
Quadratic twists by: 5 -11 |