Atkin-Lehner |
3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8151a |
Isogeny class |
Conductor |
8151 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
58504609449 = 34 · 113 · 134 · 19 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11+ 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42731,-3417720] |
[a1,a2,a3,a4,a6] |
j |
8629164767308099897/58504609449 |
j-invariant |
L |
0.33205700304338 |
L(r)(E,1)/r! |
Ω |
0.33205700304338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24453f1 89661e1 105963g1 |
Quadratic twists by: -3 -11 13 |