Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98022g |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4.7189062068996E+27 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97748616,-3325930510826] |
[a1,a2,a3,a4,a6] |
j |
-121104981084933625/5532835965844032 |
j-invariant |
L |
0.68398038740879 |
L(r)(E,1)/r! |
Ω |
0.018999446991882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98022d2 |
Quadratic twists by: -31 |