Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024n |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-183724424598528 = -1 · 210 · 33 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 0 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36824,-2809248] |
[a1,a2,a3,a4,a6] |
j |
-25158628/837 |
j-invariant |
L |
3.0957019185843 |
L(r)(E,1)/r! |
Ω |
0.17198343744871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90024bf1 |
Quadratic twists by: -11 |