Atkin-Lehner |
3+ 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14235f |
Isogeny class |
Conductor |
14235 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
-124256153779875 = -1 · 315 · 53 · 13 · 732 |
Discriminant |
Eigenvalues |
2 3+ 5- 1 -5 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-78900,8573483] |
[a1,a2,a3,a4,a6] |
j |
-54320058140180893696/124256153779875 |
j-invariant |
L |
3.5329930105822 |
L(r)(E,1)/r! |
Ω |
0.58883216843037 |
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 |
42705c1 71175q1 |
Quadratic twists by: -3 5 |