Atkin-Lehner |
2+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678d |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
1732557376 = 26 · 114 · 432 |
Discriminant |
Eigenvalues |
2+ -1 3 -5 11+ 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91886,-10759052] |
[a1,a2,a3,a4,a6] |
j |
46402590288762673/937024 |
j-invariant |
L |
1.0968483711653 |
L(r)(E,1)/r! |
Ω |
0.27421209274387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678o1 |
Quadratic twists by: -43 |