Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304eu |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5872799550082203648 = 214 · 314 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-522993,-86993199] |
[a1,a2,a3,a4,a6] |
Generators |
[884947800:37831500217:421875] |
Generators of the group modulo torsion |
j |
8207369602000/3046751253 |
j-invariant |
L |
5.3115803774606 |
L(r)(E,1)/r! |
Ω |
0.18309453343794 |
Real period |
R |
14.505021670042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304cr2 30576y2 17472cy2 |
Quadratic twists by: -4 8 -7 |