Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304gw |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
134649725134159872 = 214 · 310 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1220753,518439375] |
[a1,a2,a3,a4,a6] |
Generators |
[1507:-45864:1] [-950:28665:1] |
Generators of the group modulo torsion |
j |
104375673106000/69854967 |
j-invariant |
L |
14.221211994647 |
L(r)(E,1)/r! |
Ω |
0.32499413728387 |
Real period |
R |
0.54697955931412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304i2 30576bx2 17472cj2 |
Quadratic twists by: -4 8 -7 |