Atkin-Lehner |
2+ 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832h |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
40 |
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 |
0.93248113095899 |
L(r)(E,1)/r! |
Ω |
0.093248182349307 |
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 |
128832p1 64416f1 |
Quadratic twists by: -4 8 |