Atkin-Lehner |
2- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9424f |
Isogeny class |
Conductor |
9424 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
167976018295390208 = 219 · 192 · 316 |
Discriminant |
Eigenvalues |
2- -2 2 0 -2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3933152,-3003582092] |
[a1,a2,a3,a4,a6] |
j |
1642805188477494496993/41009770091648 |
j-invariant |
L |
1.2864599176841 |
L(r)(E,1)/r! |
Ω |
0.10720499314034 |
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 |
1178a2 37696m2 84816w2 |
Quadratic twists by: -4 8 -3 |