Atkin-Lehner |
2+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150c |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4262750000 = -1 · 24 · 56 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 4 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301,-3752] |
[a1,a2,a3,a4,a6] |
Generators |
[71:542:1] |
Generators of the group modulo torsion |
j |
-192100033/272816 |
j-invariant |
L |
5.0233283111167 |
L(r)(E,1)/r! |
Ω |
0.54524997019708 |
Real period |
R |
2.3032226436248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006j1 |
Quadratic twists by: 5 |