Atkin-Lehner |
2+ 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150g |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
315328916076562500 = 22 · 3 · 58 · 76 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-922000,-340068500] |
[a1,a2,a3,a4,a6] |
j |
5547498395124107521/20181050628900 |
j-invariant |
L |
1.8492388391979 |
L(r)(E,1)/r! |
Ω |
0.15410324234754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bq3 |
Quadratic twists by: 5 |