Atkin-Lehner |
2- 3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cm |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-131431781250 = -1 · 2 · 33 · 56 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-578,18387] |
[a1,a2,a3,a4,a6] |
j |
-789657671907/4867843750 |
j-invariant |
L |
3.5884331549012 |
L(r)(E,1)/r! |
Ω |
0.89710835833084 |
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 |
117810o2 |
Quadratic twists by: -3 |