Atkin-Lehner |
7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44149l |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-668553030943 = -1 · 77 · 172 · 532 |
Discriminant |
Eigenvalues |
1 2 0 7- 4 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1200,36443] |
[a1,a2,a3,a4,a6] |
j |
1622234375/5682607 |
j-invariant |
L |
2.5767156269403 |
L(r)(E,1)/r! |
Ω |
0.64417890677012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6307b1 |
Quadratic twists by: -7 |