Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832u |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-395079303168 = -1 · 214 · 33 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1551,-18513] |
[a1,a2,a3,a4,a6] |
Generators |
[33:264:1] |
Generators of the group modulo torsion |
j |
25168603952/24113727 |
j-invariant |
L |
5.5044500713286 |
L(r)(E,1)/r! |
Ω |
0.51796597550872 |
Real period |
R |
0.8855874667088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999241035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832z1 16104a1 |
Quadratic twists by: -4 8 |