Atkin-Lehner |
2+ 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088b |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
16 |
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 |
[4677:55080:1] |
Generators of the group modulo torsion |
j |
992956811872314414589648/1667025750518091 |
j-invariant |
L |
3.0415928140411 |
L(r)(E,1)/r! |
Ω |
0.18011354611273 |
Real period |
R |
4.2217713329233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088bf2 7068f2 |
Quadratic twists by: -4 8 |