Atkin-Lehner |
2- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71744g |
Isogeny class |
Conductor |
71744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-697925632 = -1 · 215 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 2 4 -1 -1 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-641,6593] |
[a1,a2,a3,a4,a6] |
j |
-890277128/21299 |
j-invariant |
L |
6.4280150066083 |
L(r)(E,1)/r! |
Ω |
1.6070037546606 |
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 |
71744l1 35872f1 |
Quadratic twists by: -4 8 |