Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fk |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-162909543989477376 = -1 · 215 · 36 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145889,28981569] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-2744:1] |
Generators of the group modulo torsion |
j |
-259694072/123201 |
j-invariant |
L |
3.525654763311 |
L(r)(E,1)/r! |
Ω |
0.3015225080981 |
Real period |
R |
1.4616051583703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998233054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304hj2 61152v2 122304if2 |
Quadratic twists by: -4 8 -7 |