Atkin-Lehner |
3- 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755n |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55012608 |
Modular degree for the optimal curve |
Δ |
-4.5924888627478E+29 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,549226956,-32226213134099] |
[a1,a2,a3,a4,a6] |
j |
18322268616999519364697437417031/459248886274776729583740234375 |
j-invariant |
L |
3.4709975370615 |
L(r)(E,1)/r! |
Ω |
0.014342965029173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265bc1 |
Quadratic twists by: -3 |