Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864t |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
739840 |
Modular degree for the optimal curve |
Δ |
-4889266201015896832 = -1 · 28 · 115 · 179 |
Discriminant |
Eigenvalues |
2+ -2 0 -3 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,163767,-103226861] |
[a1,a2,a3,a4,a6] |
j |
16000000/161051 |
j-invariant |
L |
1.2004519988954 |
L(r)(E,1)/r! |
Ω |
0.12004519996001 |
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 |
25432d1 50864i1 |
Quadratic twists by: -4 17 |