Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368q |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-48623511854002176 = -1 · 212 · 38 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40635,10116333] |
[a1,a2,a3,a4,a6] |
Generators |
[108:3969:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
3.5105813133274 |
L(r)(E,1)/r! |
Ω |
0.2592740310321 |
Real period |
R |
0.96714586916639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
273b1 17472da1 13104ca1 109200fh1 |
Quadratic twists by: -4 8 -3 5 |