Atkin-Lehner |
3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275h |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
3111328125 = 33 · 59 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5- 4 -5 -1 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-375,781] |
[a1,a2,a3,a4,a6] |
j |
110592/59 |
j-invariant |
L |
4.9746148561179 |
L(r)(E,1)/r! |
Ω |
1.2436537140295 |
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 |
13275l1 13275i1 |
Quadratic twists by: -3 5 |