Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bd |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
11501568 |
Modular degree for the optimal curve |
Δ |
-1.1108438431631E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,26242582,151771439657] |
[a1,a2,a3,a4,a6] |
Generators |
[-783:361975:1] |
Generators of the group modulo torsion |
j |
2741674470468626978084519/15237912800590848000000 |
j-invariant |
L |
10.439036697425 |
L(r)(E,1)/r! |
Ω |
0.051859759502954 |
Real period |
R |
1.048404067437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390e1 |
Quadratic twists by: -3 |