Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678c |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6241536 |
Modular degree for the optimal curve |
Δ |
6.8550377076356E+23 |
Discriminant |
Eigenvalues |
2+ -1 3 1 11+ -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22293431,-7400716907] |
[a1,a2,a3,a4,a6] |
j |
56698285153/31719424 |
j-invariant |
L |
1.1942206752225 |
L(r)(E,1)/r! |
Ω |
0.074638792206437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678n1 |
Quadratic twists by: -43 |