Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840do |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
354992888217600 = 224 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43308,3348432] |
[a1,a2,a3,a4,a6] |
j |
1740992427/68800 |
j-invariant |
L |
2.134935279123 |
L(r)(E,1)/r! |
Ω |
0.53373396173292 |
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 |
123840j1 30960ba1 123840dz1 |
Quadratic twists by: -4 8 -3 |