Atkin-Lehner |
2- 3+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
27192c |
Isogeny class |
Conductor |
27192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-16804656 = -1 · 24 · 32 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99,-396] |
[a1,a2,a3,a4,a6] |
j |
-6774679552/1050291 |
j-invariant |
L |
1.4994520849409 |
L(r)(E,1)/r! |
Ω |
0.74972604247049 |
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 |
54384f1 81576f1 |
Quadratic twists by: -4 -3 |