Atkin-Lehner |
2- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44764a |
Isogeny class |
Conductor |
44764 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
2003815696 = 24 · 194 · 312 |
Discriminant |
Eigenvalues |
2- 1 -1 0 -4 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2286,41261] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:217:1] [25:19:1] |
Generators of the group modulo torsion |
j |
633881344/961 |
j-invariant |
L |
9.7633980789791 |
L(r)(E,1)/r! |
Ω |
1.4723905849009 |
Real period |
R |
1.1051639625044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44764d1 |
Quadratic twists by: -19 |