Atkin-Lehner |
2+ 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650j |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-441892000 = -1 · 25 · 53 · 113 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1022,-12364] |
[a1,a2,a3,a4,a6] |
j |
-944942530797/3535136 |
j-invariant |
L |
0.84415006530619 |
L(r)(E,1)/r! |
Ω |
0.42207503284535 |
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 |
45650bb1 |
Quadratic twists by: 5 |