Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176n |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-9650700288 = -1 · 217 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 0 -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,5616] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:36:1] [-2:80:1] |
Generators of the group modulo torsion |
j |
-71874/101 |
j-invariant |
L |
8.4346097203856 |
L(r)(E,1)/r! |
Ω |
1.1641584865561 |
Real period |
R |
0.90565522411519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176bv1 7272b1 6464e1 |
Quadratic twists by: -4 8 -3 |