Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200gv |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
1.1520593448E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1988208,-1067282412] |
[a1,a2,a3,a4,a6] |
j |
108647414150813/1440074181 |
j-invariant |
L |
4.5807322630476 |
L(r)(E,1)/r! |
Ω |
0.12724256061396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825g1 109200fd1 |
Quadratic twists by: -4 5 |