Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850k |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2752512 |
Modular degree for the optimal curve |
Δ |
3.65760086016E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-830001,6462148] |
[a1,a2,a3,a4,a6] |
Generators |
[-9618:25063366:9261] |
Generators of the group modulo torsion |
j |
4047051964543660801/2340864550502400 |
j-invariant |
L |
6.4207399192742 |
L(r)(E,1)/r! |
Ω |
0.17426158807696 |
Real period |
R |
9.2113528732518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770z1 |
Quadratic twists by: 5 |