Atkin-Lehner |
2+ 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576m |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
108700718708736 = 211 · 33 · 78 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-393632,94924500] |
[a1,a2,a3,a4,a6] |
Generators |
[388:870:1] |
Generators of the group modulo torsion |
j |
3293563594875188546/53076522807 |
j-invariant |
L |
10.781715752393 |
L(r)(E,1)/r! |
Ω |
0.54432002868578 |
Real period |
R |
3.3012796218012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57288o4 |
Quadratic twists by: -4 |