Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112bw |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-22773597495570432 = -1 · 212 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288120,-59967376] |
[a1,a2,a3,a4,a6] |
j |
-3136000/27 |
j-invariant |
L |
0.8238403494379 |
L(r)(E,1)/r! |
Ω |
0.10298004367974 |
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 |
14112bv1 28224fd1 4704d1 14112bq1 |
Quadratic twists by: -4 8 -3 -7 |