Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150bl |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
143451562500 = 22 · 32 · 58 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5063,-137883] |
[a1,a2,a3,a4,a6] |
j |
918613512361/9180900 |
j-invariant |
L |
4.530532025186 |
L(r)(E,1)/r! |
Ω |
0.56631650314825 |
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 |
121200cb2 45450l2 3030c2 |
Quadratic twists by: -4 -3 5 |