Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659c |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11923200 |
Modular degree for the optimal curve |
Δ |
-2.3026128295006E+21 |
Discriminant |
Eigenvalues |
2 3+ 3 -2 -3 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8068004,-9115030183] |
[a1,a2,a3,a4,a6] |
j |
-5388091135971328/213615997011 |
j-invariant |
L |
2.2342919513611 |
L(r)(E,1)/r! |
Ω |
0.044685841115286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397a1 |
Quadratic twists by: -47 |