Atkin-Lehner |
2- 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450z |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
18980000000 = 28 · 57 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2338,42031] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:263:1] |
Generators of the group modulo torsion |
j |
90458382169/1214720 |
j-invariant |
L |
14.335285752724 |
L(r)(E,1)/r! |
Ω |
1.2257185092785 |
Real period |
R |
2.9238535691915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490a1 |
Quadratic twists by: 5 |