Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150gt |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1099008 |
Modular degree for the optimal curve |
Δ |
-214143146944773750 = -1 · 2 · 39 · 54 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40955,-22481503] |
[a1,a2,a3,a4,a6] |
Generators |
[2646126:40805495:5832] |
Generators of the group modulo torsion |
j |
-16673509288825/469998676422 |
j-invariant |
L |
11.153301342844 |
L(r)(E,1)/r! |
Ω |
0.13710721767458 |
Real period |
R |
6.7789412829392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050bq1 84150bg1 |
Quadratic twists by: -3 5 |