Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16810b |
Isogeny class |
Conductor |
16810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
419840 |
Modular degree for the optimal curve |
Δ |
3273819343939610000 = 24 · 54 · 419 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-805514,-264095580] |
[a1,a2,a3,a4,a6] |
j |
176558481/10000 |
j-invariant |
L |
2.5587806967512 |
L(r)(E,1)/r! |
Ω |
0.15992379354695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84050i1 16810c1 |
Quadratic twists by: 5 41 |