Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dh |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-1.0374436908E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255000,-492550000] |
[a1,a2,a3,a4,a6] |
Generators |
[3616:214164:1] |
Generators of the group modulo torsion |
j |
-62886400/3557763 |
j-invariant |
L |
6.3878390396071 |
L(r)(E,1)/r! |
Ω |
0.082853493735771 |
Real period |
R |
4.8186252848908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200dz1 26400g1 79200ca1 |
Quadratic twists by: -4 -3 5 |