Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bl |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-22832553375000000 = -1 · 26 · 37 · 59 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67042,-2888088] |
[a1,a2,a3,a4,a6] |
Generators |
[684233:-17208956:1331] |
Generators of the group modulo torsion |
j |
266592609856/182660427 |
j-invariant |
L |
4.8670639518865 |
L(r)(E,1)/r! |
Ω |
0.21548230129877 |
Real period |
R |
11.293419279806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800bx1 81600jh1 122400bv1 40800bd1 |
Quadratic twists by: -4 8 -3 5 |