Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bp |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
6322176 |
Modular degree for the optimal curve |
Δ |
-1.3908158854146E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12554584,-5360320087] |
[a1,a2,a3,a4,a6] |
j |
45338857965533777399/28814396538470400 |
j-invariant |
L |
1.6632201209631 |
L(r)(E,1)/r! |
Ω |
0.059400718564796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290i1 |
Quadratic twists by: 13 |