Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400u |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-9720985911750000 = -1 · 24 · 313 · 56 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12525,-4712875] |
[a1,a2,a3,a4,a6] |
j |
1192310528/53338743 |
j-invariant |
L |
0.78368469876863 |
L(r)(E,1)/r! |
Ω |
0.19592118805752 |
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 |
52200bu1 34800k1 4176f1 |
Quadratic twists by: -4 -3 5 |