Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130n |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
9307872 |
Modular degree for the optimal curve |
Δ |
-3.5594929947858E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1015846,2843368652] |
[a1,a2,a3,a4,a6] |
Generators |
[4485:310201:1] |
Generators of the group modulo torsion |
j |
6826202124551/209584584000 |
j-invariant |
L |
7.2118563858627 |
L(r)(E,1)/r! |
Ω |
0.10583879714316 |
Real period |
R |
3.7855559347788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036149 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119130bb1 |
Quadratic twists by: -19 |