Atkin-Lehner |
2+ 3- 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670v |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1167014911500000 = 25 · 310 · 56 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78309,-8253387] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:144:1] |
Generators of the group modulo torsion |
j |
72850802078810449/1600843500000 |
j-invariant |
L |
6.3319198737482 |
L(r)(E,1)/r! |
Ω |
0.28577689220641 |
Real period |
R |
1.8464053782469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890be2 |
Quadratic twists by: -3 |