Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584k |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
622612224 = 28 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 5 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1100,14364] |
[a1,a2,a3,a4,a6] |
j |
575514878416/2432079 |
j-invariant |
L |
1.6325184521647 |
L(r)(E,1)/r! |
Ω |
1.632518452165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6396b1 102336ck1 76752bv1 |
Quadratic twists by: -4 8 -3 |