Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200cz |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5607424000000000000 = -1 · 224 · 512 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,391967,63575937] |
[a1,a2,a3,a4,a6] |
Generators |
[548904911373:20931572150000:549353259] |
Generators of the group modulo torsion |
j |
1625964918479/1369000000 |
j-invariant |
L |
9.9520538525075 |
L(r)(E,1)/r! |
Ω |
0.15585213365683 |
Real period |
R |
15.963935845591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200bf2 14800q2 11840z2 |
Quadratic twists by: -4 8 5 |