Atkin-Lehner |
5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40535a |
Isogeny class |
Conductor |
40535 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78236928 |
Modular degree for the optimal curve |
Δ |
-7.9294882677048E+30 |
Discriminant |
Eigenvalues |
1 2 5+ -2 11- -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1646342212,-133018910459233] |
[a1,a2,a3,a4,a6] |
j |
2302197464086783629848471/36991647981707763671875 |
j-invariant |
L |
0.36510018730509 |
L(r)(E,1)/r! |
Ω |
0.01140938085445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40535c1 |
Quadratic twists by: -11 |