Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960p |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
639221760000000000 = 223 · 33 · 510 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9457452,-11194553296] |
[a1,a2,a3,a4,a6] |
j |
13217291350697580147/90312500000 |
j-invariant |
L |
1.7218138302078 |
L(r)(E,1)/r! |
Ω |
0.086090691520343 |
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 |
48960dr2 1530i2 48960k2 |
Quadratic twists by: -4 8 -3 |