Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bk |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.44542067003E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-692208,-619224588] |
[a1,a2,a3,a4,a6] |
Generators |
[694053256462590589:-39615616059616967438:197920856099933] |
Generators of the group modulo torsion |
j |
-36680410067176/144542067003 |
j-invariant |
L |
4.5747863309248 |
L(r)(E,1)/r! |
Ω |
0.075570491318032 |
Real period |
R |
30.268337886108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600by2 69600y2 |
Quadratic twists by: -4 5 |