Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160p |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-2971484643029760 = -1 · 28 · 38 · 5 · 115 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2839,2621085] |
[a1,a2,a3,a4,a6] |
Generators |
[71:1782:1] |
Generators of the group modulo torsion |
j |
9881592513536/11607361886835 |
j-invariant |
L |
4.5188486901961 |
L(r)(E,1)/r! |
Ω |
0.35272859535123 |
Real period |
R |
0.64055604645499 |
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 |
34320o1 51480r1 85800bj1 |
Quadratic twists by: -4 -3 5 |