Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
84816c |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
525751299120384 = 28 · 320 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -6 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21711,546910] |
[a1,a2,a3,a4,a6] |
j |
6064509776848/2817168741 |
j-invariant |
L |
0.93193727244359 |
L(r)(E,1)/r! |
Ω |
0.46596864823369 |
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 |
42408g2 28272b2 |
Quadratic twists by: -4 -3 |