Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25389l |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
240611553 = 38 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6867,220752] |
[a1,a2,a3,a4,a6] |
j |
49128431640625/330057 |
j-invariant |
L |
3.1415110883303 |
L(r)(E,1)/r! |
Ω |
1.5707555441652 |
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 |
8463k1 |
Quadratic twists by: -3 |