Atkin-Lehner |
2- 3+ 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bp |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-524478228336216 = -1 · 23 · 33 · 78 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6634,1080381] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:573:1] |
Generators of the group modulo torsion |
j |
1196045555225949/19425119568008 |
j-invariant |
L |
9.4427160759356 |
L(r)(E,1)/r! |
Ω |
0.38755568410362 |
Real period |
R |
0.50759996461528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774e2 |
Quadratic twists by: -3 |