Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248j |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-51255977411584 = -1 · 210 · 114 · 434 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11- -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-436931,111165362] |
[a1,a2,a3,a4,a6] |
j |
-615306624895908/3418801 |
j-invariant |
L |
2.2470908541285 |
L(r)(E,1)/r! |
Ω |
0.56177271798329 |
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 |
41624f1 83248r1 |
Quadratic twists by: -4 -11 |