Atkin-Lehner |
5- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775q |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
443232000 |
Modular degree for the optimal curve |
Δ |
8.9737247129529E+30 |
Discriminant |
Eigenvalues |
-2 1 5- 0 11+ 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-660727905958,-206719975708752756] |
[a1,a2,a3,a4,a6] |
Generators |
[81436504211968458:143821431834289426412:24414238701] |
Generators of the group modulo torsion |
j |
81664183932917111062859594043535360/22972735265159318801724133 |
j-invariant |
L |
2.9175340584045 |
L(r)(E,1)/r! |
Ω |
0.0052953406014371 |
Real period |
R |
22.956770536572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60775e1 |
Quadratic twists by: 5 |