Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725b |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
22762322666015625 = 32 · 510 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96338,-8971594] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:1262:1] |
Generators of the group modulo torsion |
j |
6328442608325209/1456788650625 |
j-invariant |
L |
1.9582996127297 |
L(r)(E,1)/r! |
Ω |
0.27547635270889 |
Real period |
R |
1.7771939367773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882072 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945x2 |
Quadratic twists by: 5 |