Atkin-Lehner |
2+ 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062u |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
2041184062012548096 = 210 · 36 · 7 · 198 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12510846,17035478932] |
[a1,a2,a3,a4,a6] |
j |
297068250173962064073697/2799978137191424 |
j-invariant |
L |
1.8888035048899 |
L(r)(E,1)/r! |
Ω |
0.23610043807944 |
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 |
6118m1 |
Quadratic twists by: -3 |