Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gp |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
73789452800000000 = 215 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64028300,197199618000] |
[a1,a2,a3,a4,a6] |
Generators |
[6314:211288:1] |
Generators of the group modulo torsion |
j |
481927184300808/1225 |
j-invariant |
L |
6.2185780314634 |
L(r)(E,1)/r! |
Ω |
0.22678135310351 |
Real period |
R |
3.4276286083123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400gq4 39200e4 15680di4 11200bt3 |
Quadratic twists by: -4 8 5 -7 |