Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386x |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
1454390114688 = 27 · 33 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27719,-1768385] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:74:1] |
Generators of the group modulo torsion |
j |
15131905299/9344 |
j-invariant |
L |
12.076430711877 |
L(r)(E,1)/r! |
Ω |
0.37001768877031 |
Real period |
R |
2.331245829308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386b1 64386bb1 |
Quadratic twists by: -3 -7 |