Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200bo |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1680054750000 = -1 · 24 · 33 · 56 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2817,23112] |
[a1,a2,a3,a4,a6] |
Generators |
[17:275:1] |
Generators of the group modulo torsion |
j |
9885304832/6720219 |
j-invariant |
L |
4.7343513762219 |
L(r)(E,1)/r! |
Ω |
0.52980776401185 |
Real period |
R |
2.2339949011123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488e1 |
Quadratic twists by: 5 |