Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
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 |
[49447870718501703:1472679822182570169:5126706847907] |
Generators of the group modulo torsion |
j |
481927184300808/1225 |
j-invariant |
L |
5.7918319894189 |
L(r)(E,1)/r! |
Ω |
0.053371150149724 |
Real period |
R |
27.12997551742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400gp4 39200d4 15680dj3 11200ch4 |
Quadratic twists by: -4 8 5 -7 |