Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450q |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
124274250000 = 24 · 34 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1351,-8902] |
[a1,a2,a3,a4,a6] |
Generators |
[67:416:1] [-17:104:1] |
Generators of the group modulo torsion |
j |
17434421857/7953552 |
j-invariant |
L |
7.7945060783356 |
L(r)(E,1)/r! |
Ω |
0.82232355740604 |
Real period |
R |
1.1848295613289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938g1 |
Quadratic twists by: 5 |