Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440dd |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
489072728390400 = 28 · 310 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37623,2599522] |
[a1,a2,a3,a4,a6] |
j |
31558509702736/2620631475 |
j-invariant |
L |
1.0235168737103 |
L(r)(E,1)/r! |
Ω |
0.51175843755258 |
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 |
13860m2 18480cx2 |
Quadratic twists by: -4 -3 |