Atkin-Lehner |
2- 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562bh |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
338499718042685796 = 22 · 38 · 178 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11407992,-14831633700] |
[a1,a2,a3,a4,a6] |
j |
6802331772296095777/14023770084 |
j-invariant |
L |
10.514951530625 |
L(r)(E,1)/r! |
Ω |
0.082148058973539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4386n2 |
Quadratic twists by: 17 |