Atkin-Lehner |
2- 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850q |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
100578531250 = 2 · 56 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1163,-969] |
[a1,a2,a3,a4,a6] |
Generators |
[-53820:673033:8000] |
Generators of the group modulo torsion |
j |
11134383337/6437026 |
j-invariant |
L |
8.5799057074032 |
L(r)(E,1)/r! |
Ω |
0.89430209659557 |
Real period |
R |
9.5939680113242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914b1 |
Quadratic twists by: 5 |