Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150cb |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
159180567612500000 = 25 · 58 · 78 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5235063,-4610715383] |
[a1,a2,a3,a4,a6] |
Generators |
[-1318:709:1] |
Generators of the group modulo torsion |
j |
8631398911361689/86592800 |
j-invariant |
L |
5.2401268232107 |
L(r)(E,1)/r! |
Ω |
0.099808915702331 |
Real period |
R |
2.6250795047089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23030p2 16450q2 |
Quadratic twists by: 5 -7 |