Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800m |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
336251250000 = 24 · 38 · 57 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138450,-19828375] |
[a1,a2,a3,a4,a6] |
j |
1610404796416/1845 |
j-invariant |
L |
0.9900025913669 |
L(r)(E,1)/r! |
Ω |
0.24750065038295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600w1 14760n1 |
Quadratic twists by: -3 5 |