Atkin-Lehner |
3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453t |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
92779530837 = 3 · 77 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93248,-10967685] |
[a1,a2,a3,a4,a6] |
j |
762174369888625/788613 |
j-invariant |
L |
1.0928213763628 |
L(r)(E,1)/r! |
Ω |
0.27320564966116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779b2 |
Quadratic twists by: -7 |