Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169m |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-44384369946373611 = -1 · 36 · 76 · 11 · 196 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,84966,-3445178] |
[a1,a2,a3,a4,a6] |
Generators |
[20132:2856773:1] |
Generators of the group modulo torsion |
j |
790939860992/517504691 |
j-invariant |
L |
2.9205734205968 |
L(r)(E,1)/r! |
Ω |
0.20543707524019 |
Real period |
R |
3.5540973024357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10241e2 1881b2 |
Quadratic twists by: -3 -7 |