Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950bo |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-2440692000 = -1 · 25 · 39 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 5 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-972,-11664] |
[a1,a2,a3,a4,a6] |
j |
-1115157653/26784 |
j-invariant |
L |
1.7075580984188 |
L(r)(E,1)/r! |
Ω |
0.4268895246047 |
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 |
111600fw1 4650bw1 13950cy1 |
Quadratic twists by: -4 -3 5 |