Atkin-Lehner |
3+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89661b |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
1379457609889647717 = 38 · 119 · 13 · 193 |
Discriminant |
Eigenvalues |
0 3+ -2 -1 11+ 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1041729,-404974879] |
[a1,a2,a3,a4,a6] |
j |
53021770514432/585024687 |
j-invariant |
L |
0.59815048692787 |
L(r)(E,1)/r! |
Ω |
0.14953758839703 |
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 |
89661a1 |
Quadratic twists by: -11 |