Atkin-Lehner |
3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9075f |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-144692244675 = -1 · 33 · 52 · 118 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11- -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2823,-59632] |
[a1,a2,a3,a4,a6] |
j |
-56197120/3267 |
j-invariant |
L |
0.65275019891364 |
L(r)(E,1)/r! |
Ω |
0.32637509945682 |
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 |
27225bg1 9075t1 825a1 |
Quadratic twists by: -3 5 -11 |