Atkin-Lehner |
2- 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774cf |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
925482767688864 = 25 · 314 · 7 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-636206,195472541] |
[a1,a2,a3,a4,a6] |
Generators |
[493:963:1] |
Generators of the group modulo torsion |
j |
39065089675434123673/1269523686816 |
j-invariant |
L |
8.2793259869446 |
L(r)(E,1)/r! |
Ω |
0.46388533849464 |
Real period |
R |
1.7847785422922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258s4 |
Quadratic twists by: -3 |