Atkin-Lehner |
5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14045d |
Isogeny class |
Conductor |
14045 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
171720 |
Modular degree for the optimal curve |
Δ |
-874437351827565245 = -1 · 5 · 5310 |
Discriminant |
Eigenvalues |
-1 -1 5- 3 4 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-164385,-51858908] |
[a1,a2,a3,a4,a6] |
j |
-2809/5 |
j-invariant |
L |
1.0068477250583 |
L(r)(E,1)/r! |
Ω |
0.11187196945092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405o1 70225b1 14045b1 |
Quadratic twists by: -3 5 53 |