Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24090l |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
5388491258393760000 = 28 · 34 · 54 · 114 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-446430,26568900] |
[a1,a2,a3,a4,a6] |
Generators |
[-540:10770:1] |
Generators of the group modulo torsion |
j |
9839745984276169578721/5388491258393760000 |
j-invariant |
L |
10.450476774864 |
L(r)(E,1)/r! |
Ω |
0.20998014790704 |
Real period |
R |
3.1105549974095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
72270l3 120450a3 |
Quadratic twists by: -3 5 |