Atkin-Lehner |
2+ 5- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550w |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-35127950000000 = -1 · 27 · 58 · 11 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 11+ 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6925,182125] |
[a1,a2,a3,a4,a6] |
Generators |
[30:3635:8] |
Generators of the group modulo torsion |
j |
93999385895/89927552 |
j-invariant |
L |
4.9552365509141 |
L(r)(E,1)/r! |
Ω |
0.42839268722948 |
Real period |
R |
3.8556809287784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550bh1 |
Quadratic twists by: 5 |