Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400w |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
106240 |
Modular degree for the optimal curve |
Δ |
16625000000 = 26 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5458,-156912] |
[a1,a2,a3,a4,a6] |
j |
143877824/133 |
j-invariant |
L |
0.55546772197148 |
L(r)(E,1)/r! |
Ω |
0.55546748608851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400cr1 106400cn1 |
Quadratic twists by: -4 5 |