Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ba |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
33873034320 = 24 · 32 · 5 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5535,156420] |
[a1,a2,a3,a4,a6] |
j |
24918016/45 |
j-invariant |
L |
2.3299356690806 |
L(r)(E,1)/r! |
Ω |
1.1649678456937 |
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 |
43320i1 240a1 |
Quadratic twists by: -4 -19 |