Atkin-Lehner |
2- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
45152h |
Isogeny class |
Conductor |
45152 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1670262784 = -1 · 212 · 173 · 83 |
Discriminant |
Eigenvalues |
2- -2 -1 0 -2 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,-2117] |
[a1,a2,a3,a4,a6] |
Generators |
[21:68:1] [101:1012:1] |
Generators of the group modulo torsion |
j |
-76225024/407779 |
j-invariant |
L |
6.5709131505483 |
L(r)(E,1)/r! |
Ω |
0.62293008574008 |
Real period |
R |
1.7580659801605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45152g1 90304u1 |
Quadratic twists by: -4 8 |