Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400kh |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-25088000000000 = -1 · 218 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12833,-613537] |
[a1,a2,a3,a4,a6] |
j |
-9317 |
j-invariant |
L |
1.7834074349515 |
L(r)(E,1)/r! |
Ω |
0.22292593053207 |
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 |
78400eu1 19600dv1 78400kk1 78400jn1 |
Quadratic twists by: -4 8 5 -7 |