Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cd |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11226763605049344 = -1 · 219 · 314 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6817,5104705] |
[a1,a2,a3,a4,a6] |
Generators |
[-172271:2595300:1331] |
Generators of the group modulo torsion |
j |
-133667977897/42826704426 |
j-invariant |
L |
6.4282990690023 |
L(r)(E,1)/r! |
Ω |
0.3282045506634 |
Real period |
R |
9.7931290979261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144x2 19536bc2 |
Quadratic twists by: -4 8 |