Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176g |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
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 |
[78:-32:1] [14:864:1] |
Generators of the group modulo torsion |
j |
-3981876625/1818 |
j-invariant |
L |
9.9021949927472 |
L(r)(E,1)/r! |
Ω |
0.94461327666584 |
Real period |
R |
1.3103503885338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176bs1 1818e1 19392r1 |
Quadratic twists by: -4 8 -3 |