Atkin-Lehner |
2- 3- 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538l |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-817746161381352 = -1 · 23 · 316 · 74 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 6 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-617362,-186762388] |
[a1,a2,a3,a4,a6] |
j |
-26022165739485438553633/817746161381352 |
j-invariant |
L |
8.1753244254871 |
L(r)(E,1)/r! |
Ω |
0.085159629432128 |
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 |
124614c1 |
Quadratic twists by: -3 |