Atkin-Lehner |
2+ 7- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858h |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
948480 |
Modular degree for the optimal curve |
Δ |
-9196348300066816 = -1 · 219 · 77 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44760,-2825098] |
[a1,a2,a3,a4,a6] |
j |
84298462406423/78167670784 |
j-invariant |
L |
0.89880562163497 |
L(r)(E,1)/r! |
Ω |
0.22470122117893 |
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 |
15694a1 |
Quadratic twists by: -7 |