Atkin-Lehner |
2- 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450ca |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
288288 |
Modular degree for the optimal curve |
Δ |
-27984720000 = -1 · 27 · 3 · 54 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-273088,-54951808] |
[a1,a2,a3,a4,a6] |
j |
-3603725017561582225/44775552 |
j-invariant |
L |
6.5786146168368 |
L(r)(E,1)/r! |
Ω |
0.10442245423588 |
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 |
48450c1 |
Quadratic twists by: 5 |