Atkin-Lehner |
2- 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892x |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
12870144 |
Modular degree for the optimal curve |
Δ |
-8.3651456199858E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17444212,-28392010396] |
[a1,a2,a3,a4,a6] |
j |
-19491694670039651152/277744392881109 |
j-invariant |
L |
1.5500227684663 |
L(r)(E,1)/r! |
Ω |
0.036905298040695 |
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 |
17556f1 |
Quadratic twists by: -7 |