Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144y |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5063448641823E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22429857,40878778815] |
[a1,a2,a3,a4,a6] |
j |
4760617885089919932457/133756441657344 |
j-invariant |
L |
0.3839578258162 |
L(r)(E,1)/r! |
Ω |
0.19197889061261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78144ce2 2442c2 |
Quadratic twists by: -4 8 |