Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
87100a |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
-2943980000000 = -1 · 28 · 57 · 133 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 3 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2467,66937] |
[a1,a2,a3,a4,a6] |
j |
414949376/735995 |
j-invariant |
L |
1.1013986024574 |
L(r)(E,1)/r! |
Ω |
0.55069934292047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420d1 |
Quadratic twists by: 5 |