Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150dg |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
26265600 |
Modular degree for the optimal curve |
Δ |
-1.6950078401001E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16215145,196476653647] |
[a1,a2,a3,a4,a6] |
j |
1533115690987867533/55113804687500000 |
j-invariant |
L |
5.2404443948361 |
L(r)(E,1)/r! |
Ω |
0.05240445280356 |
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 |
111150k1 22230h1 |
Quadratic twists by: -3 5 |