Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bm |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-45206951423901696 = -1 · 224 · 32 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,63280,8197022] |
[a1,a2,a3,a4,a6] |
Generators |
[45087:-1509563:343] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
5.4139958058565 |
L(r)(E,1)/r! |
Ω |
0.24524541631355 |
Real period |
R |
2.7594785994846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1014f2 122694de2 |
Quadratic twists by: -11 13 |