Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488ct |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-222952797438455808 = -1 · 212 · 33 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-779529,-265621527] |
[a1,a2,a3,a4,a6] |
j |
-6344128/27 |
j-invariant |
L |
0.16063154467062 |
L(r)(E,1)/r! |
Ω |
0.080315772724598 |
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 |
55488dw1 27744y1 55488eg1 |
Quadratic twists by: -4 8 17 |