Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032j |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
19833555366144 = 28 · 36 · 134 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7324,-113344] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:312:1] [-52:360:1] |
Generators of the group modulo torsion |
j |
169741505509072/77474825649 |
j-invariant |
L |
7.0652175734265 |
L(r)(E,1)/r! |
Ω |
0.53888176765004 |
Real period |
R |
2.1851477131486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38064g2 57096t2 |
Quadratic twists by: -4 -3 |