Atkin-Lehner |
2- 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dp |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
185991433031250 = 2 · 310 · 56 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77648,-8282703] |
[a1,a2,a3,a4,a6] |
j |
71020178933893561/255132281250 |
j-invariant |
L |
2.2884998218211 |
L(r)(E,1)/r! |
Ω |
0.28606270835489 |
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 |
39270w2 |
Quadratic twists by: -3 |