Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122740j |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
141750251880359120 = 24 · 5 · 172 · 1910 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130441,-782394] |
[a1,a2,a3,a4,a6] |
j |
326082740224/188313845 |
j-invariant |
L |
2.1945864176865 |
L(r)(E,1)/r! |
Ω |
0.27432313123459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6460e1 |
Quadratic twists by: -19 |