Atkin-Lehner |
3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325bf |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8817971185546875 = 38 · 59 · 114 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-273492,-54796959] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:453:1] [6414:120939:8] |
Generators of the group modulo torsion |
j |
1588915931309/6193143 |
j-invariant |
L |
11.808132709696 |
L(r)(E,1)/r! |
Ω |
0.20881665777605 |
Real period |
R |
7.0684810519638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38775p2 116325bk2 |
Quadratic twists by: -3 5 |