Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222o |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
265673650470912 = 220 · 38 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16457,-208695] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:672:1] [-97:732:1] |
Generators of the group modulo torsion |
j |
676119482977609/364435734528 |
j-invariant |
L |
9.3137455939227 |
L(r)(E,1)/r! |
Ω |
0.44888907916739 |
Real period |
R |
0.51871085899434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074f1 |
Quadratic twists by: -3 |