Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cy |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
355127405825753088 = 222 · 3 · 11 · 376 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4322433,3457360767] |
[a1,a2,a3,a4,a6] |
j |
34069730739753390625/1354703543952 |
j-invariant |
L |
5.1113848381334 |
L(r)(E,1)/r! |
Ω |
0.28396582620198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144d3 19536t3 |
Quadratic twists by: -4 8 |