Atkin-Lehner |
2+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008k |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
22260480 |
Modular degree for the optimal curve |
Δ |
-1.8239775092914E+22 |
Discriminant |
Eigenvalues |
2+ -3 4 7+ -1 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25765648,-50757231320] |
[a1,a2,a3,a4,a6] |
j |
-1847340550827988392001536/17812280364173348963 |
j-invariant |
L |
1.339428381983 |
L(r)(E,1)/r! |
Ω |
0.033485713726377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008cz1 6188c1 |
Quadratic twists by: -4 8 |