Atkin-Lehner |
2+ 3+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9222a |
Isogeny class |
Conductor |
9222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-236766070656 = -1 · 27 · 33 · 293 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -5 2 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2412,-52272] |
[a1,a2,a3,a4,a6] |
j |
-1552876541267401/236766070656 |
j-invariant |
L |
0.6755300471002 |
L(r)(E,1)/r! |
Ω |
0.3377650235501 |
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 |
73776n1 27666n1 |
Quadratic twists by: -4 -3 |