Atkin-Lehner |
5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12155f |
Isogeny class |
Conductor |
12155 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-303875 = -1 · 53 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3 5- 1 11- 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11,20] |
[a1,a2,a3,a4,a6] |
j |
139798359/303875 |
j-invariant |
L |
6.3836084128863 |
L(r)(E,1)/r! |
Ω |
2.1278694709621 |
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 |
109395l1 60775k1 |
Quadratic twists by: -3 5 |