Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376co |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
38061429147689472 = 29 · 36 · 710 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137550464,620882093292] |
[a1,a2,a3,a4,a6] |
j |
4778061038325269847944/631868769 |
j-invariant |
L |
2.4967244103047 |
L(r)(E,1)/r! |
Ω |
0.20806036248067 |
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 |
89376by4 12768m2 |
Quadratic twists by: -4 -7 |