Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248bn |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-19501343488 = -1 · 28 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 -4 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1613,26369] |
[a1,a2,a3,a4,a6] |
j |
-1024000/43 |
j-invariant |
L |
2.4178962122248 |
L(r)(E,1)/r! |
Ω |
1.2089481263173 |
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 |
20812i1 688b1 |
Quadratic twists by: -4 -11 |