Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cm |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
626208675176448 = 213 · 33 · 73 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456777272,3757398394068] |
[a1,a2,a3,a4,a6] |
j |
2573221814539797208162915513/152882977338 |
j-invariant |
L |
4.6605280611503 |
L(r)(E,1)/r! |
Ω |
0.19418866932274 |
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 |
9282c3 |
Quadratic twists by: -4 |