Atkin-Lehner |
2- 3+ 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bo |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
196617480995628 = 22 · 39 · 72 · 114 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32240,-2115449] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:287:1] |
Generators of the group modulo torsion |
j |
188280303730875/9989202916 |
j-invariant |
L |
10.897046248545 |
L(r)(E,1)/r! |
Ω |
0.35746478181812 |
Real period |
R |
1.9052657080715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774d2 |
Quadratic twists by: -3 |