Atkin-Lehner |
2- 3+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
14268b |
Isogeny class |
Conductor |
14268 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-879536763145287792 = -1 · 24 · 313 · 295 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 -1 3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1801758,-931370679] |
[a1,a2,a3,a4,a6] |
j |
-40429032428007724000000/54971047696580487 |
j-invariant |
L |
1.9544802170389 |
L(r)(E,1)/r! |
Ω |
0.065149340567962 |
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 |
57072r1 42804e1 |
Quadratic twists by: -4 -3 |