Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24090l |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
44245141712640 = 28 · 316 · 5 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5481950,4939813572] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:6388:1] |
Generators of the group modulo torsion |
j |
18219184228131936192280801/44245141712640 |
j-invariant |
L |
10.450476774864 |
L(r)(E,1)/r! |
Ω |
0.41996029581407 |
Real period |
R |
3.1105549974095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72270l4 120450a4 |
Quadratic twists by: -3 5 |