Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bu |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-14941080000 = -1 · 26 · 32 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,615,615] |
[a1,a2,a3,a4,a6] |
Generators |
[13:98:1] |
Generators of the group modulo torsion |
j |
74991286313/43560000 |
j-invariant |
L |
6.7755333655708 |
L(r)(E,1)/r! |
Ω |
0.75043789980918 |
Real period |
R |
0.18809943521236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360hr1 48510t1 80850cq1 16170ca1 |
Quadratic twists by: -4 -3 5 -7 |