Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16150b |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
346165156250000 = 24 · 510 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17567,-38659] |
[a1,a2,a3,a4,a6] |
j |
38371643079489/22154570000 |
j-invariant |
L |
1.8107720786118 |
L(r)(E,1)/r! |
Ω |
0.45269301965294 |
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 |
129200bf1 3230e1 |
Quadratic twists by: -4 5 |