Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11592l |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
841300992 = 210 · 36 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4395,-112138] |
[a1,a2,a3,a4,a6] |
Generators |
[83:308:1] |
Generators of the group modulo torsion |
j |
12576878500/1127 |
j-invariant |
L |
4.4074552064286 |
L(r)(E,1)/r! |
Ω |
0.58635707530848 |
Real period |
R |
3.7583371907893 |
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 |
23184p2 92736bb2 1288b2 81144bn2 |
Quadratic twists by: -4 8 -3 -7 |