Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200ct |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.41995804672E+19 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,618792,-259459088] |
[a1,a2,a3,a4,a6] |
Generators |
[492:12800:1] [642:20050:1] |
Generators of the group modulo torsion |
j |
16377103685255/27624737792 |
j-invariant |
L |
8.6638458769573 |
L(r)(E,1)/r! |
Ω |
0.10651233667714 |
Real period |
R |
6.7784369273465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150n2 129200cf1 |
Quadratic twists by: -4 5 |