Atkin-Lehner |
2+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784a |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
1470561472 = 26 · 172 · 433 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106015,13286148] |
[a1,a2,a3,a4,a6] |
Generators |
[31684:580023:64] |
Generators of the group modulo torsion |
j |
2058949483004232000/22977523 |
j-invariant |
L |
3.8649844851885 |
L(r)(E,1)/r! |
Ω |
1.0619414228906 |
Real period |
R |
7.2790916746905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46784e1 23392c2 |
Quadratic twists by: -4 8 |