Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320s |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-397469089152000 = -1 · 210 · 37 · 53 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8415,909225] |
[a1,a2,a3,a4,a6] |
Generators |
[80:1445:1] |
Generators of the group modulo torsion |
j |
64347918907136/388153407375 |
j-invariant |
L |
4.4332425258881 |
L(r)(E,1)/r! |
Ω |
0.38596943414604 |
Real period |
R |
0.76573291970589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16320da1 2040g1 48960bh1 81600cs1 |
Quadratic twists by: -4 8 -3 5 |