Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362r |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-327441162752 = -1 · 29 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ -1 0 4 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11255,-465131] |
[a1,a2,a3,a4,a6] |
Generators |
[1634722556106:54283405674217:1427628376] |
Generators of the group modulo torsion |
j |
-246579625/512 |
j-invariant |
L |
4.9006592487382 |
L(r)(E,1)/r! |
Ω |
0.23172565829152 |
Real period |
R |
21.148539548317 |
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 |
722f2 87362x2 |
Quadratic twists by: -11 -19 |