Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bb |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-1185305400000000000 = -1 · 212 · 35 · 511 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -5 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1515533,-719521563] |
[a1,a2,a3,a4,a6] |
j |
-6015063504300544/18520396875 |
j-invariant |
L |
0.54417437843759 |
L(r)(E,1)/r! |
Ω |
0.068021798430847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69600bm1 13920j1 |
Quadratic twists by: -4 5 |