Atkin-Lehner |
2+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16112a |
Isogeny class |
Conductor |
16112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59360 |
Modular degree for the optimal curve |
Δ |
-357112186510448 = -1 · 24 · 19 · 537 |
Discriminant |
Eigenvalues |
2+ -1 0 4 5 -6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17348,1270759] |
[a1,a2,a3,a4,a6] |
Generators |
[27993:214717:343] |
Generators of the group modulo torsion |
j |
-36089179133728000/22319511656903 |
j-invariant |
L |
4.396325314286 |
L(r)(E,1)/r! |
Ω |
0.49788031709018 |
Real period |
R |
8.8300845873563 |
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 |
8056a1 64448n1 |
Quadratic twists by: -4 8 |