Atkin-Lehner |
5+ 29+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64525a |
Isogeny class |
Conductor |
64525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-3018519828125 = -1 · 56 · 293 · 892 |
Discriminant |
Eigenvalues |
1 1 5+ -2 -5 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2474,69073] |
[a1,a2,a3,a4,a6] |
Generators |
[1733:71312:1] |
Generators of the group modulo torsion |
j |
107239576751/193185269 |
j-invariant |
L |
5.7535790879491 |
L(r)(E,1)/r! |
Ω |
0.55004568057598 |
Real period |
R |
5.2300920550407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2581a1 |
Quadratic twists by: 5 |