Atkin-Lehner |
2- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71744k |
Isogeny class |
Conductor |
71744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-178668961792 = -1 · 223 · 192 · 59 |
Discriminant |
Eigenvalues |
2- -2 0 3 3 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1407,-641] |
[a1,a2,a3,a4,a6] |
Generators |
[65:608:1] |
Generators of the group modulo torsion |
j |
1174241375/681568 |
j-invariant |
L |
5.5522255063733 |
L(r)(E,1)/r! |
Ω |
0.60100702460803 |
Real period |
R |
2.3095510035113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71744b1 17936c1 |
Quadratic twists by: -4 8 |