Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cn |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
161263643588296704 = 218 · 32 · 72 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1593704,773617716] |
[a1,a2,a3,a4,a6] |
j |
109291660572926209897/39371006735424 |
j-invariant |
L |
1.2691436302603 |
L(r)(E,1)/r! |
Ω |
0.31728590476701 |
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 |
9282d2 |
Quadratic twists by: -4 |