Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322m |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5920 |
Modular degree for the optimal curve |
Δ |
-68774244 = -1 · 22 · 3 · 75 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174,-984] |
[a1,a2,a3,a4,a6] |
j |
-582810602977/68774244 |
j-invariant |
L |
6.529068472329 |
L(r)(E,1)/r! |
Ω |
0.6529068472329 |
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 |
114576x1 42966q1 100254bt1 |
Quadratic twists by: -4 -3 -7 |