Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109820o |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
72727014837484880 = 24 · 5 · 178 · 194 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104425,626370] |
[a1,a2,a3,a4,a6] |
j |
326082740224/188313845 |
j-invariant |
L |
7.0444568881989 |
L(r)(E,1)/r! |
Ω |
0.29351904132939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6460e1 |
Quadratic twists by: 17 |