Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-11426082050211840 = -1 · 216 · 39 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25773,-4890094] |
[a1,a2,a3,a4,a6] |
Generators |
[12675:284032:27] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
5.2377641827183 |
L(r)(E,1)/r! |
Ω |
0.20165018341513 |
Real period |
R |
6.4936268462669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890ba1 29040ch1 720j1 |
Quadratic twists by: -4 -3 -11 |