Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176bv |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
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 |
[60:432:1] |
Generators of the group modulo torsion |
j |
-71874/101 |
j-invariant |
L |
5.0928232124911 |
L(r)(E,1)/r! |
Ω |
0.50908586898509 |
Real period |
R |
2.5009647305218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176n1 14544g1 6464m1 |
Quadratic twists by: -4 8 -3 |