Atkin-Lehner |
2- 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248w |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
11071488 = 212 · 3 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -4 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,48] |
[a1,a2,a3,a4,a6] |
j |
4826809/2703 |
j-invariant |
L |
3.9289423882428 |
L(r)(E,1)/r! |
Ω |
1.9644711942141 |
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 |
2703d1 129744bg1 |
Quadratic twists by: -4 -3 |