Atkin-Lehner |
3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975s |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-132685870921875 = -1 · 312 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 5 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6150,-584469] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/11648691 |
j-invariant |
L |
0.97192239334174 |
L(r)(E,1)/r! |
Ω |
0.24298075230467 |
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 |
41325j1 4959c1 |
Quadratic twists by: -3 5 |