Atkin-Lehner |
2+ 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360k |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3580644708274636800 = 211 · 38 · 52 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159760803,777236992702] |
[a1,a2,a3,a4,a6] |
j |
302048675556489109281602/2398301336025 |
j-invariant |
L |
0.6909671172505 |
L(r)(E,1)/r! |
Ω |
0.172741851902 |
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 |
36120bc6 |
Quadratic twists by: -3 |