Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16150h |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
212160 |
Modular degree for the optimal curve |
Δ |
-2067200000000000 = -1 · 217 · 511 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 -3 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48442,-4638284] |
[a1,a2,a3,a4,a6] |
j |
-804590545599729/132300800000 |
j-invariant |
L |
0.31893036369633 |
L(r)(E,1)/r! |
Ω |
0.15946518184817 |
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 |
129200cn1 3230c1 |
Quadratic twists by: -4 5 |