Atkin-Lehner |
3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275p |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
7348832578125 = 313 · 57 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 -3 -3 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28425,-1839969] |
[a1,a2,a3,a4,a6] |
j |
222985990144/645165 |
j-invariant |
L |
2.9419816149268 |
L(r)(E,1)/r! |
Ω |
0.36774770186585 |
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 |
4425k1 2655h1 |
Quadratic twists by: -3 5 |