Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080u |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-18633240000 = -1 · 26 · 38 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1326,-20160] |
[a1,a2,a3,a4,a6] |
Generators |
[96:864:1] |
Generators of the group modulo torsion |
j |
-4031826095296/291144375 |
j-invariant |
L |
7.4399406072739 |
L(r)(E,1)/r! |
Ω |
0.39391749232706 |
Real period |
R |
2.3608816415217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080d1 68160cw1 102240bk1 |
Quadratic twists by: -4 8 -3 |