Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11925bb |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
24148125 = 36 · 54 · 53 |
Discriminant |
Eigenvalues |
2 3- 5- -3 5 -6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,81] |
[a1,a2,a3,a4,a6] |
j |
102400/53 |
j-invariant |
L |
3.750599430588 |
L(r)(E,1)/r! |
Ω |
1.875299715294 |
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 |
1325e1 11925q1 |
Quadratic twists by: -3 5 |