Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ig |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2642547642728448 = 218 · 3 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61217,5258847] |
[a1,a2,a3,a4,a6] |
Generators |
[2829:2080:27] |
Generators of the group modulo torsion |
j |
822656953/85683 |
j-invariant |
L |
11.715544889881 |
L(r)(E,1)/r! |
Ω |
0.44188324328976 |
Real period |
R |
3.3140951565161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999651941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304bz3 30576bs3 2496t3 |
Quadratic twists by: -4 8 -7 |