Atkin-Lehner |
3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17457a |
Isogeny class |
Conductor |
17457 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
43966659033 = 33 · 11 · 236 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3449,75888] |
[a1,a2,a3,a4,a6] |
j |
30664297/297 |
j-invariant |
L |
0.5722956163335 |
L(r)(E,1)/r! |
Ω |
1.144591232667 |
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 |
52371e1 33a2 |
Quadratic twists by: -3 -23 |