Atkin-Lehner |
2+ 3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314m |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
50640225667584 = 29 · 3 · 79 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-511080,-140673098] |
[a1,a2,a3,a4,a6] |
Generators |
[-26444:14219:64] |
Generators of the group modulo torsion |
j |
14763493900588474315513/50640225667584 |
j-invariant |
L |
4.0432258467973 |
L(r)(E,1)/r! |
Ω |
0.1785572646694 |
Real period |
R |
2.5159845338282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102942bt3 |
Quadratic twists by: -3 |