Atkin-Lehner |
2- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
114638j |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37800 |
Modular degree for the optimal curve |
Δ |
-14215112 = -1 · 23 · 312 · 432 |
Discriminant |
Eigenvalues |
2- 0 4 2 -1 -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3,-181] |
[a1,a2,a3,a4,a6] |
j |
-1161/7688 |
j-invariant |
L |
6.0719387617907 |
L(r)(E,1)/r! |
Ω |
1.0119899082042 |
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 |
114638d1 |
Quadratic twists by: -43 |