Atkin-Lehner |
3- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14145c |
Isogeny class |
Conductor |
14145 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
28471835781387225 = 310 · 52 · 234 · 413 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-84784871,300479914776] |
[a1,a2,a3,a4,a6] |
j |
67402934335228534245176614129/28471835781387225 |
j-invariant |
L |
2.2561872360618 |
L(r)(E,1)/r! |
Ω |
0.22561872360618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42435f1 70725d1 |
Quadratic twists by: -3 5 |