Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810cq |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-5889250771034400 = -1 · 25 · 39 · 52 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34288,-2776301] |
[a1,a2,a3,a4,a6] |
j |
226501329287493/299204936800 |
j-invariant |
L |
4.5446106729829 |
L(r)(E,1)/r! |
Ω |
0.22723052304583 |
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 |
117810d2 |
Quadratic twists by: -3 |