Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cz |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
261227298816 = 214 · 32 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2097,28305] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:240:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
5.2088699557708 |
L(r)(E,1)/r! |
Ω |
0.91954136175801 |
Real period |
R |
2.8323195521147 |
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 |
23232bw2 5808o2 69696gl2 192d2 |
Quadratic twists by: -4 8 -3 -11 |