Atkin-Lehner |
2+ 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
107920g |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1446912 |
Modular degree for the optimal curve |
Δ |
286675526281250000 = 24 · 59 · 192 · 714 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-619115,185930162] |
[a1,a2,a3,a4,a6] |
j |
1640281587210561980416/17917220392578125 |
j-invariant |
L |
2.7850716012361 |
L(r)(E,1)/r! |
Ω |
0.3094523755854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53960h1 |
Quadratic twists by: -4 |