Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600ej |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
4.0425056379456E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9140880,4424360240] |
[a1,a2,a3,a4,a6] |
Generators |
[-1482881606576622616438735:204135905701489317754493799:1952780489008040434625] |
Generators of the group modulo torsion |
j |
1131514829301821440/541530783546813 |
j-invariant |
L |
8.129763580667 |
L(r)(E,1)/r! |
Ω |
0.10222778175569 |
Real period |
R |
39.76298536975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6975l1 37200br1 111600gg1 |
Quadratic twists by: -4 -3 5 |