Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386f |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
9011979648 = 27 · 39 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5091,-138475] |
[a1,a2,a3,a4,a6] |
j |
15131905299/9344 |
j-invariant |
L |
1.1304227184715 |
L(r)(E,1)/r! |
Ω |
0.56521135575418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386bb1 64386b1 |
Quadratic twists by: -3 -7 |