Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304fx |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
369916827291648 = 212 · 310 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19273,458473] |
[a1,a2,a3,a4,a6] |
j |
1643032000/767637 |
j-invariant |
L |
0.9589727336469 |
L(r)(E,1)/r! |
Ω |
0.4794858797679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304hw2 61152p1 2496y2 |
Quadratic twists by: -4 8 -7 |