Atkin-Lehner |
2- 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25116h |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
-997564315742921472 = -1 · 28 · 3 · 711 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205661,59913807] |
[a1,a2,a3,a4,a6] |
j |
-3757869446429630464/3896735608370787 |
j-invariant |
L |
5.5577765461757 |
L(r)(E,1)/r! |
Ω |
0.25262620664435 |
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 |
100464ba1 75348k1 |
Quadratic twists by: -4 -3 |