Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ez |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.0320915293983E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -3 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1490180,-853532553] |
[a1,a2,a3,a4,a6] |
j |
-1285144810759705/362435434192 |
j-invariant |
L |
4.3095723683495 |
L(r)(E,1)/r! |
Ω |
0.067337093143225 |
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 |
12350h1 111150bu1 |
Quadratic twists by: -3 5 |