Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050bn |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-26901000000000 = -1 · 29 · 32 · 59 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27576,1777798] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1311:1] |
Generators of the group modulo torsion |
j |
-1187311966469/13773312 |
j-invariant |
L |
5.7908417878684 |
L(r)(E,1)/r! |
Ω |
0.6701393733269 |
Real period |
R |
1.0801562365916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64050cf1 |
Quadratic twists by: 5 |