Atkin-Lehner |
2- 3+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17088h |
Isogeny class |
Conductor |
17088 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-12457152 = -1 · 26 · 37 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37,-159] |
[a1,a2,a3,a4,a6] |
j |
85184000/194643 |
j-invariant |
L |
1.1662634123972 |
L(r)(E,1)/r! |
Ω |
1.1662634123972 |
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 |
17088k1 8544c1 51264bf1 |
Quadratic twists by: -4 8 -3 |