Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992d |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-11020073149184 = -1 · 28 · 117 · 472 |
Discriminant |
Eigenvalues |
2+ -1 3 0 11- 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5969,240781] |
[a1,a2,a3,a4,a6] |
j |
-51868672/24299 |
j-invariant |
L |
2.6855794299834 |
L(r)(E,1)/r! |
Ω |
0.67139486309212 |
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 |
45496b1 8272d1 |
Quadratic twists by: -4 -11 |