Atkin-Lehner |
2+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43472c |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
7171503502592 = 28 · 11 · 135 · 193 |
Discriminant |
Eigenvalues |
2+ 2 -4 -1 11+ 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32945,2309021] |
[a1,a2,a3,a4,a6] |
j |
15447758267216896/28013685557 |
j-invariant |
L |
2.2368460409356 |
L(r)(E,1)/r! |
Ω |
0.74561534706474 |
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 |
21736d1 |
Quadratic twists by: -4 |