Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bu |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-1.2260698164E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2244708,1077633616] |
[a1,a2,a3,a4,a6] |
j |
109813469243970311/107638502400000 |
j-invariant |
L |
1.2117545726565 |
L(r)(E,1)/r! |
Ω |
0.10097954780522 |
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 |
21450bq1 12870ce1 |
Quadratic twists by: -3 5 |