Atkin-Lehner |
3+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575b |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-8106967623046875 = -1 · 3 · 59 · 117 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 11+ 4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,27742,-3959332] |
[a1,a2,a3,a4,a6] |
Generators |
[8049:149624:27] |
Generators of the group modulo torsion |
j |
151112828063744/518845927875 |
j-invariant |
L |
2.7998981820199 |
L(r)(E,1)/r! |
Ω |
0.21141061858273 |
Real period |
R |
6.6219431188851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715h1 |
Quadratic twists by: 5 |