Atkin-Lehner |
3- 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395y |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-818877456099311895 = -1 · 36 · 5 · 115 · 136 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38938,-43447084] |
[a1,a2,a3,a4,a6] |
j |
8956277938772711/1123288691494255 |
j-invariant |
L |
1.336699508737 |
L(r)(E,1)/r! |
Ω |
0.13367000982721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12155b1 |
Quadratic twists by: -3 |