Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11322w |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-9.3273240316694E+18 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -5 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,167053,144527847] |
[a1,a2,a3,a4,a6] |
Generators |
[2675:139116:1] |
Generators of the group modulo torsion |
j |
707231276910755351/12794683171014324 |
j-invariant |
L |
6.4678173263347 |
L(r)(E,1)/r! |
Ω |
0.17187349002057 |
Real period |
R |
0.5226564968707 |
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 |
90576bx1 3774c1 |
Quadratic twists by: -4 -3 |