Atkin-Lehner |
5+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59225d |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26784 |
Modular degree for the optimal curve |
Δ |
-851359375 = -1 · 56 · 232 · 103 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138,-1594] |
[a1,a2,a3,a4,a6] |
j |
-18609625/54487 |
j-invariant |
L |
0.64443911680814 |
L(r)(E,1)/r! |
Ω |
0.64443910989188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2369a1 |
Quadratic twists by: 5 |