Atkin-Lehner |
2+ 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99946c |
Isogeny class |
Conductor |
99946 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
7574902981954616 = 23 · 77 · 117 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 11- -1 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-230023,-42351459] |
[a1,a2,a3,a4,a6] |
j |
759773848711249/4275835256 |
j-invariant |
L |
0.43614728273089 |
L(r)(E,1)/r! |
Ω |
0.21807388714686 |
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 |
9086g1 |
Quadratic twists by: -11 |