Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008m |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
968169656365056 = 212 · 316 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 6 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148817,22095585] |
[a1,a2,a3,a4,a6] |
j |
88986539547097408/236369545011 |
j-invariant |
L |
1.9867183489668 |
L(r)(E,1)/r! |
Ω |
0.49667958724147 |
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 |
31008g2 62016bh1 93024q2 |
Quadratic twists by: -4 8 -3 |