Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050cx |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-186772608000000000 = -1 · 216 · 33 · 59 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-229513,-47248969] |
[a1,a2,a3,a4,a6] |
Generators |
[1135:-34568:1] |
Generators of the group modulo torsion |
j |
-684566528248637/95627575296 |
j-invariant |
L |
5.9372213133989 |
L(r)(E,1)/r! |
Ω |
0.10822125180671 |
Real period |
R |
0.57147791506207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150da1 28050br1 |
Quadratic twists by: -3 5 |