Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245m |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
11842605 = 38 · 5 · 192 |
Discriminant |
Eigenvalues |
2 3- 5- -2 3 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-57,-5] |
[a1,a2,a3,a4,a6] |
j |
77824/45 |
j-invariant |
L |
3.8028743487393 |
L(r)(E,1)/r! |
Ω |
1.9014371743696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5415d1 81225bk1 16245i1 |
Quadratic twists by: -3 5 -19 |