Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362q |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.1254025658999E+23 |
Discriminant |
Eigenvalues |
2+ -1 0 1 11- 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3735635,-22355849171] |
[a1,a2,a3,a4,a6] |
Generators |
[146701504947564:-40556485372282267:1925134784] |
Generators of the group modulo torsion |
j |
-69173457625/2550136832 |
j-invariant |
L |
4.0313379301891 |
L(r)(E,1)/r! |
Ω |
0.043592588643415 |
Real period |
R |
23.119399739972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722e3 4598n3 |
Quadratic twists by: -11 -19 |