Atkin-Lehner |
5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9025c |
Isogeny class |
Conductor |
9025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-13966745921875 = -1 · 56 · 197 |
Discriminant |
Eigenvalues |
0 -2 5+ 1 3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6017,9944] |
[a1,a2,a3,a4,a6] |
j |
32768/19 |
j-invariant |
L |
0.84686149019145 |
L(r)(E,1)/r! |
Ω |
0.42343074509572 |
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 |
81225w1 361b1 475a1 |
Quadratic twists by: -3 5 -19 |