Atkin-Lehner |
2+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710k |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4902912 |
Modular degree for the optimal curve |
Δ |
-9704996871864320 = -1 · 219 · 5 · 137 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 0 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25298627,48966614221] |
[a1,a2,a3,a4,a6] |
j |
-370983403154885372929/2010644480 |
j-invariant |
L |
1.1117103145862 |
L(r)(E,1)/r! |
Ω |
0.27792756443358 |
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 |
7670f1 |
Quadratic twists by: 13 |