Atkin-Lehner |
2+ 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232o |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-294272164241328 = -1 · 24 · 3 · 74 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35355,-2700366] |
[a1,a2,a3,a4,a6] |
j |
-305469981054846976/18392010265083 |
j-invariant |
L |
1.3878211257812 |
L(r)(E,1)/r! |
Ω |
0.17347764063687 |
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 |
100464d1 |
Quadratic twists by: -4 |