Atkin-Lehner |
2+ 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50456b |
Isogeny class |
Conductor |
50456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37658743808 = 210 · 74 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-17604] |
[a1,a2,a3,a4,a6] |
j |
301675562500/36776117 |
j-invariant |
L |
3.1422298640274 |
L(r)(E,1)/r! |
Ω |
0.78555746614535 |
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 |
100912b2 |
Quadratic twists by: -4 |