Atkin-Lehner |
2+ 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022j |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-93246401664 = -1 · 27 · 310 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -1 5 0 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34389,-2457440] |
[a1,a2,a3,a4,a6] |
j |
-26611998773481121/551753856 |
j-invariant |
L |
1.7529342977111 |
L(r)(E,1)/r! |
Ω |
0.17529343233595 |
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 |
74022u1 |
Quadratic twists by: 13 |