Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950dh |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-289262694531250 = -1 · 2 · 58 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16070,229947] |
[a1,a2,a3,a4,a6] |
j |
663255/418 |
j-invariant |
L |
5.4394962193532 |
L(r)(E,1)/r! |
Ω |
0.33996848963964 |
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 |
114950i1 10450l1 |
Quadratic twists by: 5 -11 |