Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17808bd |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-19827072713097216 = -1 · 225 · 34 · 72 · 533 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43360,5829876] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:2226:1] |
Generators of the group modulo torsion |
j |
2201007734483039/4840593924096 |
j-invariant |
L |
6.8379460654194 |
L(r)(E,1)/r! |
Ω |
0.26729725262016 |
Real period |
R |
0.53295426084561 |
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 |
2226h1 71232ch1 53424bk1 124656cq1 |
Quadratic twists by: -4 8 -3 -7 |