Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400dt |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
78019200 |
Modular degree for the optimal curve |
Δ |
2.9778112195701E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4931150833,-133024507947037] |
[a1,a2,a3,a4,a6] |
Generators |
[-40291:501126:1] |
Generators of the group modulo torsion |
j |
5304305926039941563929600/11911244878280571453 |
j-invariant |
L |
8.8932812576387 |
L(r)(E,1)/r! |
Ω |
0.018018601516003 |
Real period |
R |
1.828004171072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400s1 |
Quadratic twists by: 5 |