Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bw |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7286466049280000000 = 214 · 57 · 112 · 196 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-671408,-167472812] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:2800:1] |
Generators of the group modulo torsion |
j |
523002686860009/113851032020 |
j-invariant |
L |
4.2717273923657 |
L(r)(E,1)/r! |
Ω |
0.16936504634662 |
Real period |
R |
3.1527516207588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450y2 16720u2 |
Quadratic twists by: -4 5 |