Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192cc |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-5973177830211584 = -1 · 222 · 176 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 1 0 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1951,3718943] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:884:1] |
Generators of the group modulo torsion |
j |
3131359847/22785865136 |
j-invariant |
L |
10.116403448115 |
L(r)(E,1)/r! |
Ω |
0.33514499374931 |
Real period |
R |
2.5154295496447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192bd1 16048bc1 |
Quadratic twists by: -4 8 |