Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160cn |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-588902400 = -1 · 212 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,1177] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
-438976/143775 |
j-invariant |
L |
5.7388990376695 |
L(r)(E,1)/r! |
Ω |
1.3266487770074 |
Real period |
R |
1.0814654069074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160dn1 34080q1 |
Quadratic twists by: -4 8 |