Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bl |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
220774400 = 214 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,-688] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:7:1] |
Generators of the group modulo torsion |
j |
44851536/13475 |
j-invariant |
L |
4.3605853638508 |
L(r)(E,1)/r! |
Ω |
1.3192833535705 |
Real period |
R |
1.652634118383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640f2 6160q2 123200dz2 |
Quadratic twists by: -4 8 5 |