Atkin-Lehner |
3+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
80223g |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
354816000 |
Modular degree for the optimal curve |
Δ |
7.9568142708399E+33 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11- 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50691940015,-937825931943248] |
[a1,a2,a3,a4,a6] |
Generators |
[-125004321215988036:-88042718625341863043:5028334923968] |
Generators of the group modulo torsion |
j |
8131755985964161964448308988625/4491414222168968491132426977 |
j-invariant |
L |
5.3772232436071 |
L(r)(E,1)/r! |
Ω |
0.010771311160484 |
Real period |
R |
17.829183879021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293b1 |
Quadratic twists by: -11 |