Atkin-Lehner |
3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57477n |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
71387611876161 = 34 · 78 · 172 · 232 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23962,1366595] |
[a1,a2,a3,a4,a6] |
j |
12933194124817/606784689 |
j-invariant |
L |
2.4330906941295 |
L(r)(E,1)/r! |
Ω |
0.60827267377225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8211d2 |
Quadratic twists by: -7 |