Atkin-Lehner |
2+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
111392a |
Isogeny class |
Conductor |
111392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
863760 |
Modular degree for the optimal curve |
Δ |
-554431732393916096 = -1 · 26 · 599 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,205379,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1921826948115267:-1035836308081715950:2718384523526547] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.1320988003049 |
L(r)(E,1)/r! |
Ω |
0.17418799063849 |
Real period |
R |
29.46298860117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111392a1 111392g1 |
Quadratic twists by: -4 -59 |