Atkin-Lehner |
2- 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088bf |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
2.7312549896488E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52788849,-147642890769] |
[a1,a2,a3,a4,a6] |
Generators |
[9201:381672:1] |
Generators of the group modulo torsion |
j |
992956811872314414589648/1667025750518091 |
j-invariant |
L |
7.4961734830415 |
L(r)(E,1)/r! |
Ω |
0.056009803565302 |
Real period |
R |
2.2306135185959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088b2 28272e2 |
Quadratic twists by: -4 8 |