Atkin-Lehner |
7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22477f |
Isogeny class |
Conductor |
22477 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
18645120 |
Modular degree for the optimal curve |
Δ |
4.4240438924457E+24 |
Discriminant |
Eigenvalues |
-2 -3 0 7+ 3 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-865519135,9800313586560] |
[a1,a2,a3,a4,a6] |
j |
87903651292135690752000/5423412136571653 |
j-invariant |
L |
0.66187866647554 |
L(r)(E,1)/r! |
Ω |
0.073542074052836 |
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 |
22477m1 |
Quadratic twists by: 13 |