Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400bj |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-49920000000 = -1 · 214 · 3 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 -1 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34533,-2458563] |
[a1,a2,a3,a4,a6] |
j |
-17790954496/195 |
j-invariant |
L |
3.1519705651604 |
L(r)(E,1)/r! |
Ω |
0.17510947591631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400hq1 7800h1 12480y1 |
Quadratic twists by: -4 8 5 |