Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
108072o |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
21289319424 = 210 · 36 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -2 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-939,8566] |
[a1,a2,a3,a4,a6] |
Generators |
[3:76:1] |
Generators of the group modulo torsion |
j |
122657188/28519 |
j-invariant |
L |
4.0491746481839 |
L(r)(E,1)/r! |
Ω |
1.1388712103824 |
Real period |
R |
0.88885700697381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12008c1 |
Quadratic twists by: -3 |