Atkin-Lehner |
2+ 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160k |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
281600 |
Modular degree for the optimal curve |
Δ |
-524392475613177600 = -1 · 28 · 35 · 52 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1072620,-429354432] |
[a1,a2,a3,a4,a6] |
j |
-533116130640227974096/2048408107863975 |
j-invariant |
L |
3.7079014044122 |
L(r)(E,1)/r! |
Ω |
0.074158028088245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320e1 51480bj1 85800ca1 |
Quadratic twists by: -4 -3 5 |