Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368n |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-12275758416789504 = -1 · 219 · 37 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11424,5306112] |
[a1,a2,a3,a4,a6] |
j |
40251338884511/2997011332224 |
j-invariant |
L |
0.61214056273712 |
L(r)(E,1)/r! |
Ω |
0.30607028136856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
546f1 17472cs1 13104bq1 109200gm1 |
Quadratic twists by: -4 8 -3 5 |