Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184m |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
199484283727872 = 212 · 39 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20172,-868480] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:484:1] |
Generators of the group modulo torsion |
j |
304006671424/66806883 |
j-invariant |
L |
3.9025000049888 |
L(r)(E,1)/r! |
Ω |
0.40687312321508 |
Real period |
R |
1.1989302629981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184r2 82368ev1 13728h2 |
Quadratic twists by: -4 8 -3 |