Atkin-Lehner |
2+ 3+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101616b |
Isogeny class |
Conductor |
101616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3712199943168 = 210 · 310 · 292 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21112,1184128] |
[a1,a2,a3,a4,a6] |
j |
1016324647255012/3625195257 |
j-invariant |
L |
3.1628282433734 |
L(r)(E,1)/r! |
Ω |
0.79070710435684 |
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 |
50808e1 |
Quadratic twists by: -4 |