Atkin-Lehner |
2+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150n |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-2968238080000 = -1 · 214 · 54 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42617,-3376659] |
[a1,a2,a3,a4,a6] |
j |
-13696135709765625/4749180928 |
j-invariant |
L |
1.3290897728006 |
L(r)(E,1)/r! |
Ω |
0.16613622156835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150bf1 |
Quadratic twists by: 5 |