Atkin-Lehner |
2+ 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43450c |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
73746191406250000 = 24 · 514 · 112 · 792 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-232417,-41042259] |
[a1,a2,a3,a4,a6] |
j |
88860429994375521/4719756250000 |
j-invariant |
L |
1.7452415782449 |
L(r)(E,1)/r! |
Ω |
0.21815519730112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8690h2 |
Quadratic twists by: 5 |