Atkin-Lehner |
2+ 3+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9222b |
Isogeny class |
Conductor |
9222 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-189503357544 = -1 · 23 · 312 · 292 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 3 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-993,-24579] |
[a1,a2,a3,a4,a6] |
j |
-108456265743769/189503357544 |
j-invariant |
L |
1.60598577904 |
L(r)(E,1)/r! |
Ω |
0.40149644476001 |
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 |
73776p1 27666m1 |
Quadratic twists by: -4 -3 |