Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740p |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
-1.3986097143555E+21 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1944992,-2080283799] |
[a1,a2,a3,a4,a6] |
Generators |
[1862:27455:1] |
Generators of the group modulo torsion |
j |
-7414747814569181184/12744293212890625 |
j-invariant |
L |
4.833805298713 |
L(r)(E,1)/r! |
Ω |
0.060395014303504 |
Real period |
R |
1.6674269676295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122740o1 |
Quadratic twists by: -19 |