Atkin-Lehner |
2- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44896f |
Isogeny class |
Conductor |
44896 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
105408 |
Modular degree for the optimal curve |
Δ |
-11311832379392 = -1 · 212 · 233 · 613 |
Discriminant |
Eigenvalues |
2- 0 4 3 3 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2488,-168720] |
[a1,a2,a3,a4,a6] |
j |
-415829113344/2761677827 |
j-invariant |
L |
5.4137299880908 |
L(r)(E,1)/r! |
Ω |
0.30076277713071 |
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 |
44896d1 89792o1 |
Quadratic twists by: -4 8 |