Atkin-Lehner |
2- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9898f |
Isogeny class |
Conductor |
9898 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-234810089930752 = -1 · 226 · 73 · 1012 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17627,-1165487] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1321:1] |
Generators of the group modulo torsion |
j |
-1765900971536311/684577521664 |
j-invariant |
L |
5.4347458199144 |
L(r)(E,1)/r! |
Ω |
0.20326365702669 |
Real period |
R |
1.0283623173909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79184u1 89082v1 9898i1 |
Quadratic twists by: -4 -3 -7 |