Atkin-Lehner |
3- 5- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73935l |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-60635941875 = -1 · 310 · 54 · 31 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1542,-26145] |
[a1,a2,a3,a4,a6] |
Generators |
[53:202:1] |
Generators of the group modulo torsion |
j |
-556223463424/83176875 |
j-invariant |
L |
5.6207461007567 |
L(r)(E,1)/r! |
Ω |
0.37781194606526 |
Real period |
R |
0.92981874974987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24645e1 |
Quadratic twists by: -3 |