Atkin-Lehner |
2- 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cx |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
69140730389062500 = 22 · 38 · 58 · 74 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3505963,-2526992083] |
[a1,a2,a3,a4,a6] |
j |
305018147630286511849/4425006744900 |
j-invariant |
L |
7.0611928682998 |
L(r)(E,1)/r! |
Ω |
0.11033113857268 |
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 |
11130f2 |
Quadratic twists by: 5 |