Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5225b |
Isogeny class |
Conductor |
5225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
736806640625 = 510 · 11 · 193 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24560230,-46842474228] |
[a1,a2,a3,a4,a6] |
j |
104857852278310619039721/47155625 |
j-invariant |
L |
0.81380938652164 |
L(r)(E,1)/r! |
Ω |
0.067817448876803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600bq1 47025be1 1045b1 57475i1 |
Quadratic twists by: -4 -3 5 -11 |