Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dd |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
496175625000000 = 26 · 38 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41925,3125500] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:2200:1] |
Generators of the group modulo torsion |
j |
11179320256/680625 |
j-invariant |
L |
6.0896774413279 |
L(r)(E,1)/r! |
Ω |
0.51487653840404 |
Real period |
R |
2.9568629496344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001899 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79200bi1 26400s1 15840p1 |
Quadratic twists by: -4 -3 5 |