Atkin-Lehner |
2- 3+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520r |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-3078504576000 = -1 · 210 · 33 · 53 · 75 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3600,13500] |
[a1,a2,a3,a4,a6] |
j |
5037448449596/3006352125 |
j-invariant |
L |
2.9325161195028 |
L(r)(E,1)/r! |
Ω |
0.48875268658965 |
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 |
89040x1 |
Quadratic twists by: -4 |