Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8410a |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-26281250 = -1 · 2 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -3 -4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-278,-1922] |
[a1,a2,a3,a4,a6] |
Generators |
[59:408:1] |
Generators of the group modulo torsion |
j |
-2841193249/31250 |
j-invariant |
L |
2.1266665588269 |
L(r)(E,1)/r! |
Ω |
0.58394306714913 |
Real period |
R |
1.8209536840719 |
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 |
67280o2 75690bn2 42050s2 8410j2 |
Quadratic twists by: -4 -3 5 29 |