Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506o |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-2.4409672983267E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-999221,451918784] |
[a1,a2,a3,a4,a6] |
j |
-514714335771625/113872925952 |
j-invariant |
L |
2.0336053581827 |
L(r)(E,1)/r! |
Ω |
0.20336053581827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67518bx1 22506bk1 |
Quadratic twists by: -3 -11 |