Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832p |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-19441863483322368 = -1 · 212 · 3 · 1110 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-429225,108301719] |
[a1,a2,a3,a4,a6] |
j |
-2135107784025251776/4746548701983 |
j-invariant |
L |
0.77281032359438 |
L(r)(E,1)/r! |
Ω |
0.38640567463883 |
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 |
128832h1 64416b1 |
Quadratic twists by: -4 8 |