Atkin-Lehner |
3+ 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16401c |
Isogeny class |
Conductor |
16401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3099789 = 34 · 72 · 11 · 71 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-204101,-35575980] |
[a1,a2,a3,a4,a6] |
j |
940291336206416390617/3099789 |
j-invariant |
L |
0.89845842563745 |
L(r)(E,1)/r! |
Ω |
0.22461460640936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49203e4 114807z4 |
Quadratic twists by: -3 -7 |