Atkin-Lehner |
2+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
94162c |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-33521672 = -1 · 23 · 232 · 892 |
Discriminant |
Eigenvalues |
2+ -1 0 -2 0 -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1195,-16411] |
[a1,a2,a3,a4,a6] |
j |
-357223059625/63368 |
j-invariant |
L |
0.81190594899979 |
L(r)(E,1)/r! |
Ω |
0.40595290166604 |
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 |
94162i1 |
Quadratic twists by: -23 |