Atkin-Lehner |
2- 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ed |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
71392141999886400 = 26 · 312 · 52 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-350627,-78784221] |
[a1,a2,a3,a4,a6] |
j |
6539297416754410729/97931607681600 |
j-invariant |
L |
4.7129574758184 |
L(r)(E,1)/r! |
Ω |
0.19637323808531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270a2 |
Quadratic twists by: -3 |