Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120c |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
451500000000000 = 211 · 3 · 512 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43736,3383436] |
[a1,a2,a3,a4,a6] |
j |
4517736245524658/220458984375 |
j-invariant |
L |
1.0424667997206 |
L(r)(E,1)/r! |
Ω |
0.52123339986251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240u3 108360bs3 |
Quadratic twists by: -4 -3 |