Atkin-Lehner |
5- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
56425c |
Isogeny class |
Conductor |
56425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-6034830078125 = -1 · 59 · 373 · 61 |
Discriminant |
Eigenvalues |
-1 1 5- 2 -3 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2237,111142] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:305:1] [27:424:1] |
Generators of the group modulo torsion |
j |
633839779/3089833 |
j-invariant |
L |
7.6397474211764 |
L(r)(E,1)/r! |
Ω |
0.54314730813959 |
Real period |
R |
7.0328503029387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56425d1 |
Quadratic twists by: 5 |