Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752a |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-44356315867136 = -1 · 211 · 78 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13051,-657270] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4386:1] |
Generators of the group modulo torsion |
j |
-120039762869154/21658357357 |
j-invariant |
L |
3.3279447828711 |
L(r)(E,1)/r! |
Ω |
0.22116543926997 |
Real period |
R |
3.7618273382315 |
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 |
12376n2 99008cd2 |
Quadratic twists by: -4 8 |