Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ey |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-1046583880786080000 = -1 · 28 · 311 · 54 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-507508,147776812] |
[a1,a2,a3,a4,a6] |
j |
-90351062245080400/6541149254913 |
j-invariant |
L |
1.358658312896 |
L(r)(E,1)/r! |
Ω |
0.27173164886226 |
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 |
27300w1 109200fs1 |
Quadratic twists by: -4 5 |