Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550be |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-134409375000 = -1 · 23 · 36 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1242,-24084] |
[a1,a2,a3,a4,a6] |
j |
-744385/472 |
j-invariant |
L |
0.78178071866664 |
L(r)(E,1)/r! |
Ω |
0.39089035933358 |
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 |
2950t1 26550bw1 |
Quadratic twists by: -3 5 |