Atkin-Lehner |
41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89093d |
Isogeny class |
Conductor |
89093 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-251755524773 = -1 · 416 · 53 |
Discriminant |
Eigenvalues |
-1 3 0 4 0 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,525,23560] |
[a1,a2,a3,a4,a6] |
j |
3375/53 |
j-invariant |
L |
5.8566921862015 |
L(r)(E,1)/r! |
Ω |
0.73208653698687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53a1 |
Quadratic twists by: 41 |