Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
410d |
Isogeny class |
Conductor |
410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16810000 = -1 · 24 · 54 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 2 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,64,16] |
[a1,a2,a3,a4,a6] |
Generators |
[6:22:1] |
Generators of the group modulo torsion |
j |
28962726911/16810000 |
j-invariant |
L |
1.8491499415013 |
L(r)(E,1)/r! |
Ω |
1.3202258655254 |
Real period |
R |
0.35015787635045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3280h2 13120s2 3690j2 2050c2 |
Quadratic twists by: -4 8 -3 5 |