Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cw |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
251636038041600 = 216 · 312 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220332,-39800144] |
[a1,a2,a3,a4,a6] |
Generators |
[70180:458784:125] |
Generators of the group modulo torsion |
j |
24759905519524/5267025 |
j-invariant |
L |
5.7325301294575 |
L(r)(E,1)/r! |
Ω |
0.22036149208434 |
Real period |
R |
6.5035524982248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960fn2 6120g2 16320be2 |
Quadratic twists by: -4 8 -3 |