Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100x |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
79427250000 = 24 · 33 · 56 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,9288] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:75:1] [-33:123:1] |
Generators of the group modulo torsion |
j |
829898752/317709 |
j-invariant |
L |
12.260902669567 |
L(r)(E,1)/r! |
Ω |
0.98877050215802 |
Real period |
R |
0.68889722937037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3444f1 |
Quadratic twists by: 5 |