Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200g |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-27200000000000 = -1 · 215 · 511 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 0 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6367,155137] |
[a1,a2,a3,a4,a6] |
Generators |
[32:625:1] |
Generators of the group modulo torsion |
j |
55742968/53125 |
j-invariant |
L |
3.7708500956125 |
L(r)(E,1)/r! |
Ω |
0.43746692005102 |
Real period |
R |
1.0774672103129 |
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 |
27200d1 13600n1 5440j1 |
Quadratic twists by: -4 8 5 |