Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bz |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
328704 |
Modular degree for the optimal curve |
Δ |
243845507452928 = 212 · 173 · 594 |
Discriminant |
Eigenvalues |
2- -2 0 4 -6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15833,-158873] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:767:1] |
Generators of the group modulo torsion |
j |
107171875000000/59532594593 |
j-invariant |
L |
3.50421105102 |
L(r)(E,1)/r! |
Ω |
0.45629450959598 |
Real period |
R |
1.9199283446016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64192bo1 32096d1 |
Quadratic twists by: -4 8 |