Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bf |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1190400 |
Modular degree for the optimal curve |
Δ |
-249979628437500000 = -1 · 25 · 3 · 510 · 13 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1243563,533788281] |
[a1,a2,a3,a4,a6] |
j |
-13611534355369215721/15998696220000 |
j-invariant |
L |
3.106757150855 |
L(r)(E,1)/r! |
Ω |
0.31067571506188 |
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 |
11310g1 |
Quadratic twists by: 5 |