Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120cj |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-50174112452136960 = -1 · 212 · 3 · 5 · 712 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36304,10455060] |
[a1,a2,a3,a4,a6] |
Generators |
[2436:120666:1] |
Generators of the group modulo torsion |
j |
1291859362462031/12249539172885 |
j-invariant |
L |
7.4934092133381 |
L(r)(E,1)/r! |
Ω |
0.2614570332872 |
Real period |
R |
7.1650484130364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000004063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195b4 |
Quadratic twists by: -4 |