Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8410f |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1450714597586900 = 22 · 52 · 299 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-522839,145631673] |
[a1,a2,a3,a4,a6] |
Generators |
[452:999:1] |
Generators of the group modulo torsion |
j |
1089547389/100 |
j-invariant |
L |
3.5936480334446 |
L(r)(E,1)/r! |
Ω |
0.4578746969603 |
Real period |
R |
3.9242701740255 |
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 |
67280y2 75690bl2 42050ba2 8410m2 |
Quadratic twists by: -4 -3 5 29 |