Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cw |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
Δ |
7.8812202825402E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35567326,-80522076220] |
[a1,a2,a3,a4,a6] |
Generators |
[-3406:35030:1] |
Generators of the group modulo torsion |
j |
33613237452390629041/532385784000000 |
j-invariant |
L |
13.349088890743 |
L(r)(E,1)/r! |
Ω |
0.061880479226477 |
Real period |
R |
0.59923263182182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bj2 |
Quadratic twists by: -23 |