Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376x |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10959631183872 = 212 · 32 · 77 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5553,-225] |
[a1,a2,a3,a4,a6] |
j |
39304000/22743 |
j-invariant |
L |
2.4332198237226 |
L(r)(E,1)/r! |
Ω |
0.60830497106929 |
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 |
89376e2 12768a2 |
Quadratic twists by: -4 -7 |