Atkin-Lehner |
2+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9112a |
Isogeny class |
Conductor |
9112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1184 |
Modular degree for the optimal curve |
Δ |
-2332672 = -1 · 211 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ -2 2 -1 -2 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,-272] |
[a1,a2,a3,a4,a6] |
j |
-20436626/1139 |
j-invariant |
L |
0.8158894888574 |
L(r)(E,1)/r! |
Ω |
0.8158894888574 |
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 |
18224d1 72896j1 82008n1 |
Quadratic twists by: -4 8 -3 |