Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576bc |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3761734130159616 = -1 · 212 · 38 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13836,3016640] |
[a1,a2,a3,a4,a6] |
Generators |
[148:2052:1] |
Generators of the group modulo torsion |
j |
-98099748928/1259797149 |
j-invariant |
L |
5.6508225011159 |
L(r)(E,1)/r! |
Ω |
0.375148261454 |
Real period |
R |
3.765726168893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576ba2 36192d2 |
Quadratic twists by: -4 -3 |