Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10388a |
Isogeny class |
Conductor |
10388 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6552 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 3 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,-55223] |
[a1,a2,a3,a4,a6] |
j |
24772608/53 |
j-invariant |
L |
1.9791586447187 |
L(r)(E,1)/r! |
Ω |
0.65971954823958 |
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 |
41552q1 93492j1 10388e1 |
Quadratic twists by: -4 -3 -7 |