Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bq |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-2859466752 = -1 · 220 · 33 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,1872] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1740:1] |
Generators of the group modulo torsion |
j |
328509/404 |
j-invariant |
L |
7.2694617558329 |
L(r)(E,1)/r! |
Ω |
0.95851282887792 |
Real period |
R |
3.7920524049529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58176e1 14544k1 58176bn1 |
Quadratic twists by: -4 8 -3 |