Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176bs |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-347425210368 = -1 · 219 · 38 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -2 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19020,-1010032] |
[a1,a2,a3,a4,a6] |
Generators |
[56308:185256:343] |
Generators of the group modulo torsion |
j |
-3981876625/1818 |
j-invariant |
L |
6.1762097982521 |
L(r)(E,1)/r! |
Ω |
0.20326145833989 |
Real period |
R |
7.5963857691777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176g1 14544w1 19392bc1 |
Quadratic twists by: -4 8 -3 |