Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024o |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
110208 |
Modular degree for the optimal curve |
Δ |
16800638976 = 211 · 37 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 11- 5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-744,4464] |
[a1,a2,a3,a4,a6] |
j |
184039394/67797 |
j-invariant |
L |
7.902579755736 |
L(r)(E,1)/r! |
Ω |
1.1289399772247 |
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 |
90024bg1 |
Quadratic twists by: -11 |