Atkin-Lehner |
2- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248v |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10264320 |
Modular degree for the optimal curve |
Δ |
-2063706604528253696 = -1 · 28 · 119 · 434 |
Discriminant |
Eigenvalues |
2- 3 -3 4 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38630944,-92416861636] |
[a1,a2,a3,a4,a6] |
j |
-10562228118355968/3418801 |
j-invariant |
L |
6.0557191188938 |
L(r)(E,1)/r! |
Ω |
0.030278595096516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20812f1 83248z1 |
Quadratic twists by: -4 -11 |