Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112i |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-203297472 = -1 · 26 · 33 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,147,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
4.2597869203653 |
L(r)(E,1)/r! |
Ω |
1.0649467300913 |
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 |
14112i1 28224ei2 14112bn1 288a1 |
Quadratic twists by: -4 8 -3 -7 |