Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71736q |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-44092962816 = -1 · 211 · 3 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 -4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,-5664] |
[a1,a2,a3,a4,a6] |
Generators |
[58:147:8] |
Generators of the group modulo torsion |
j |
207646/183 |
j-invariant |
L |
3.5864879794837 |
L(r)(E,1)/r! |
Ω |
0.62641914773703 |
Real period |
R |
2.86269025485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1464d1 |
Quadratic twists by: -7 |