Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ba |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
71990784294912 = 221 · 36 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27180,-1675728] |
[a1,a2,a3,a4,a6] |
j |
11619959625/376712 |
j-invariant |
L |
2.980503955185 |
L(r)(E,1)/r! |
Ω |
0.3725631153469 |
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 |
124992gl2 3906n2 13888a2 |
Quadratic twists by: -4 8 -3 |