Atkin-Lehner |
2- 3- 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bm |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
1427171410125000 = 23 · 37 · 56 · 23 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63167,5849759] |
[a1,a2,a3,a4,a6] |
Generators |
[-1314:28103:8] |
Generators of the group modulo torsion |
j |
38234946978163369/1957711125000 |
j-invariant |
L |
11.3822128579 |
L(r)(E,1)/r! |
Ω |
0.47313704585848 |
Real period |
R |
1.0023710284933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038032 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42090f2 |
Quadratic twists by: -3 |