Atkin-Lehner |
2+ 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6270b |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
206910000 = 24 · 32 · 54 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1765632,902286864] |
[a1,a2,a3,a4,a6] |
j |
608729950623321661295881/206910000 |
j-invariant |
L |
1.4848839488091 |
L(r)(E,1)/r! |
Ω |
0.74244197440457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50160ci4 18810w3 31350bv4 68970cb4 |
Quadratic twists by: -4 -3 5 -11 |