Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386b |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
1060250393607552 = 27 · 39 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249468,47995856] |
[a1,a2,a3,a4,a6] |
j |
15131905299/9344 |
j-invariant |
L |
0.9722111798518 |
L(r)(E,1)/r! |
Ω |
0.4861055871989 |
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 |
64386x1 64386f1 |
Quadratic twists by: -3 -7 |