Atkin-Lehner |
2+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760b |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-1394000000000 = -1 · 210 · 59 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 0 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2717,-15982] |
[a1,a2,a3,a4,a6] |
Generators |
[62481:3006422:27] |
Generators of the group modulo torsion |
j |
2166170667804/1361328125 |
j-invariant |
L |
9.1016294901337 |
L(r)(E,1)/r! |
Ω |
0.49138827248337 |
Real period |
R |
9.261138288853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27880b1 |
Quadratic twists by: -4 |