Atkin-Lehner |
2- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127832b |
Isogeny class |
Conductor |
127832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-23145765066752 = -1 · 211 · 19 · 296 |
Discriminant |
Eigenvalues |
2- -1 0 3 -2 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7008,-321044] |
[a1,a2,a3,a4,a6] |
j |
-31250/19 |
j-invariant |
L |
2.284716126578 |
L(r)(E,1)/r! |
Ω |
0.2538576373253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
152b1 |
Quadratic twists by: 29 |