Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400w |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5086369800000000 = 29 · 32 · 58 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74008,-6973012] |
[a1,a2,a3,a4,a6] |
Generators |
[-3291:13546:27] |
Generators of the group modulo torsion |
j |
5603709294728/635796225 |
j-invariant |
L |
8.6776460124414 |
L(r)(E,1)/r! |
Ω |
0.29159131292152 |
Real period |
R |
7.4399044238974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400d3 19680t2 |
Quadratic twists by: -4 5 |