Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bi |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38491530158592 = 29 · 34 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83120,-9191244] |
[a1,a2,a3,a4,a6] |
Generators |
[38852:818847:64] |
Generators of the group modulo torsion |
j |
3073924664/1863 |
j-invariant |
L |
4.6813926213044 |
L(r)(E,1)/r! |
Ω |
0.28118265954226 |
Real period |
R |
8.3244689606829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999995305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192ch2 108192bw2 |
Quadratic twists by: -4 -7 |