Atkin-Lehner |
3+ 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16401c |
Isogeny class |
Conductor |
16401 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13180647249 = 32 · 74 · 112 · 712 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12756,-559845] |
[a1,a2,a3,a4,a6] |
j |
229572804717748297/13180647249 |
j-invariant |
L |
0.89845842563745 |
L(r)(E,1)/r! |
Ω |
0.44922921281872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49203e2 114807z2 |
Quadratic twists by: -3 -7 |