Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gr |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.144511877991E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-737227875,-7704579118750] |
[a1,a2,a3,a4,a6] |
Generators |
[218956795:-289754468602:125] |
Generators of the group modulo torsion |
j |
7598212583918732621/36771465672 |
j-invariant |
L |
3.5217070912986 |
L(r)(E,1)/r! |
Ω |
0.028973385430779 |
Real period |
R |
15.193715832557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950bi2 37200cl2 111600gn2 |
Quadratic twists by: -4 -3 5 |