Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108927h |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20767813440797241 = 310 · 78 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-145319,20199638] |
[a1,a2,a3,a4,a6] |
Generators |
[69:3205:1] |
Generators of the group modulo torsion |
j |
3957057343513/242144721 |
j-invariant |
L |
5.3976411771386 |
L(r)(E,1)/r! |
Ω |
0.37714610921912 |
Real period |
R |
3.5779509894587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972849 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36309t2 15561o2 |
Quadratic twists by: -3 -7 |