Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300c |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1.41612336565E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-937533,-298523063] |
[a1,a2,a3,a4,a6] |
Generators |
[-413:4250:1] |
Generators of the group modulo torsion |
j |
3952205824/614125 |
j-invariant |
L |
5.3558710851053 |
L(r)(E,1)/r! |
Ω |
0.15503220129357 |
Real period |
R |
0.95963416329541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660a2 83300k2 |
Quadratic twists by: 5 -7 |