Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450g |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
1960891156250000 = 24 · 59 · 137 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137400,19430000] |
[a1,a2,a3,a4,a6] |
Generators |
[2540:125480:1] |
Generators of the group modulo torsion |
j |
3803721481/26000 |
j-invariant |
L |
4.2117163060064 |
L(r)(E,1)/r! |
Ω |
0.46937583956123 |
Real period |
R |
1.1216268369138 |
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 |
67600cf1 76050fd1 1690f1 650j1 |
Quadratic twists by: -4 -3 5 13 |