Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304hw |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
40 |
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] |
Generators |
[-94:729:1] |
Generators of the group modulo torsion |
j |
1643032000/767637 |
j-invariant |
L |
9.7705519945728 |
L(r)(E,1)/r! |
Ω |
0.42392525903612 |
Real period |
R |
2.3047817641035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999292566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304fx2 61152b1 2496r2 |
Quadratic twists by: -4 8 -7 |