Atkin-Lehner |
43- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
123883a |
Isogeny class |
Conductor |
123883 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
436128 |
Modular degree for the optimal curve |
Δ |
-783109418599267 = -1 · 438 · 67 |
Discriminant |
Eigenvalues |
0 2 2 4 2 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19723,815734] |
[a1,a2,a3,a4,a6] |
j |
134217728/123883 |
j-invariant |
L |
5.9333209974264 |
L(r)(E,1)/r! |
Ω |
0.32962901384648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2881a1 |
Quadratic twists by: -43 |