Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
66400m |
Isogeny class |
Conductor |
66400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93120 |
Modular degree for the optimal curve |
Δ |
-51875000000 = -1 · 26 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -5 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-625,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[-852:764:27] |
Generators of the group modulo torsion |
j |
-43200/83 |
j-invariant |
L |
12.205540450227 |
L(r)(E,1)/r! |
Ω |
1.0018733764966 |
Real period |
R |
6.0913588166201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66400e1 66400i1 |
Quadratic twists by: -4 5 |