Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640bc |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-626393088000000 = -1 · 223 · 34 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16639,-870561] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1500:1] |
Generators of the group modulo torsion |
j |
1943297778239/2389500000 |
j-invariant |
L |
6.0539542702648 |
L(r)(E,1)/r! |
Ω |
0.27515269332378 |
Real period |
R |
1.3751351561176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bs1 1770f1 |
Quadratic twists by: -4 8 |