Atkin-Lehner |
2- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850df |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
Δ |
-7689886655153920000 = -1 · 211 · 54 · 79 · 533 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 6 7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-164987313,815619012431] |
[a1,a2,a3,a4,a6] |
j |
-6754716152390425678225/104580732928 |
j-invariant |
L |
11.014090878426 |
L(r)(E,1)/r! |
Ω |
0.16688014769396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850o2 18550v2 |
Quadratic twists by: 5 -7 |