Atkin-Lehner |
2+ 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72216a |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2126194647570432 = -1 · 211 · 36 · 176 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7917,2201870] |
[a1,a2,a3,a4,a6] |
j |
36757686238/1424116571 |
j-invariant |
L |
5.612649006784 |
L(r)(E,1)/r! |
Ω |
0.35079056403119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8024o2 |
Quadratic twists by: -3 |