Atkin-Lehner |
2+ 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47560a |
Isogeny class |
Conductor |
47560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
152184238208000 = 210 · 53 · 294 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14160,-266192] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1160:1] |
Generators of the group modulo torsion |
j |
306650859082564/148617420125 |
j-invariant |
L |
4.0397602106365 |
L(r)(E,1)/r! |
Ω |
0.45945430146748 |
Real period |
R |
0.73270983239359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95120e2 |
Quadratic twists by: -4 |