Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8410k |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1381408203125000 = 23 · 512 · 294 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45011,-3215015] |
[a1,a2,a3,a4,a6] |
Generators |
[-3804:17527:27] |
Generators of the group modulo torsion |
j |
14258975033569/1953125000 |
j-invariant |
L |
3.9977156902335 |
L(r)(E,1)/r! |
Ω |
0.3307473949789 |
Real period |
R |
2.0144858538183 |
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 |
67280u2 75690u2 42050n2 8410b2 |
Quadratic twists by: -4 -3 5 29 |