Atkin-Lehner |
2+ 3- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
90246l |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-417507114898538496 = -1 · 214 · 33 · 139 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 5 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,81792,29762254] |
[a1,a2,a3,a4,a6] |
Generators |
[89:6099:1] |
Generators of the group modulo torsion |
j |
5706550403/39370752 |
j-invariant |
L |
8.0631486011818 |
L(r)(E,1)/r! |
Ω |
0.21709428340933 |
Real period |
R |
3.0951024539293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90246bc1 |
Quadratic twists by: 13 |