Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400kr |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-137200000000 = -1 · 210 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -1 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5833,-170463] |
[a1,a2,a3,a4,a6] |
j |
-160000 |
j-invariant |
L |
1.638247011158 |
L(r)(E,1)/r! |
Ω |
0.27304117273325 |
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 |
78400fl1 19600dz1 78400im1 78400kx1 |
Quadratic twists by: -4 8 5 -7 |