Atkin-Lehner |
2- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370x |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-92368288350208000 = -1 · 221 · 53 · 136 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-662230,-207995100] |
[a1,a2,a3,a4,a6] |
Generators |
[2380:106970:1] |
Generators of the group modulo torsion |
j |
-6654113316148969/19136512000 |
j-invariant |
L |
9.3240547019291 |
L(r)(E,1)/r! |
Ω |
0.083664754271418 |
Real period |
R |
0.88448755909248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999803644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730b2 |
Quadratic twists by: 13 |