Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176j |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-380547940352 = -1 · 214 · 234 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 3 3 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593,-29999] |
[a1,a2,a3,a4,a6] |
j |
-1409938000/23226803 |
j-invariant |
L |
1.6349821636715 |
L(r)(E,1)/r! |
Ω |
0.40874550956957 |
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 |
122176bm1 15272a1 |
Quadratic twists by: -4 8 |