Atkin-Lehner |
3- 5- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265bg |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25472949913125 = 37 · 54 · 11 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22284,-1251585] |
[a1,a2,a3,a4,a6] |
Generators |
[1830:17985:8] |
Generators of the group modulo torsion |
j |
1678752203514049/34942318125 |
j-invariant |
L |
9.4496872000804 |
L(r)(E,1)/r! |
Ω |
0.39124609958941 |
Real period |
R |
6.038199017552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999401387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755o4 |
Quadratic twists by: -3 |