Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ic |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.7043802346018E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,595040,-233332492] |
[a1,a2,a3,a4,a6] |
j |
48351870250991/76871856600 |
j-invariant |
L |
5.2050599687771 |
L(r)(E,1)/r! |
Ω |
0.10843875707731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bo2 18480bp2 |
Quadratic twists by: -4 -7 |