Atkin-Lehner |
7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22477m |
Isogeny class |
Conductor |
22477 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1434240 |
Modular degree for the optimal curve |
Δ |
916556651080609357 = 75 · 132 · 199 |
Discriminant |
Eigenvalues |
2 -3 0 7- -3 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5121415,4460770863] |
[a1,a2,a3,a4,a6] |
j |
87903651292135690752000/5423412136571653 |
j-invariant |
L |
1.3257985945073 |
L(r)(E,1)/r! |
Ω |
0.26515971890147 |
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 |
22477f1 |
Quadratic twists by: 13 |