Atkin-Lehner |
2- 5- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cl |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2216160 |
Modular degree for the optimal curve |
Δ |
2606843012200000000 = 29 · 58 · 79 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-827138,-279273969] |
[a1,a2,a3,a4,a6] |
j |
160212954955370305/6673518111232 |
j-invariant |
L |
1.4284425715769 |
L(r)(E,1)/r! |
Ω |
0.15871584129635 |
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 |
113050z1 |
Quadratic twists by: 5 |