Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bo |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-5.9285174222848E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-849808,477938112] |
[a1,a2,a3,a4,a6] |
Generators |
[4026:106575:8] |
Generators of the group modulo torsion |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
9.7871709376574 |
L(r)(E,1)/r! |
Ω |
0.18076748933573 |
Real period |
R |
2.7071159121515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10150h1 3248i1 |
Quadratic twists by: -4 5 |