Atkin-Lehner |
2- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
103544i |
Isogeny class |
Conductor |
103544 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
138768 |
Modular degree for the optimal curve |
Δ |
-24363696112 = -1 · 24 · 77 · 432 |
Discriminant |
Eigenvalues |
2- 2 4 7- 4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,244,-7447] |
[a1,a2,a3,a4,a6] |
j |
54082304/823543 |
j-invariant |
L |
8.1894462675863 |
L(r)(E,1)/r! |
Ω |
0.58496042934748 |
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 |
103544a1 |
Quadratic twists by: -43 |