Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150fk |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-19786843522192500 = -1 · 22 · 310 · 54 · 135 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36680,-7278753] |
[a1,a2,a3,a4,a6] |
j |
-11978241015625/43427914452 |
j-invariant |
L |
6.3245286624499 |
L(r)(E,1)/r! |
Ω |
0.15811320622948 |
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 |
37050t1 111150be1 |
Quadratic twists by: -3 5 |