Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770bb |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1592338953600 = 27 · 311 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1493042,-701818959] |
[a1,a2,a3,a4,a6] |
j |
504907690321458001369/2184278400 |
j-invariant |
L |
3.8241912428796 |
L(r)(E,1)/r! |
Ω |
0.13657825867427 |
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 |
38160bw2 1590c2 23850bd2 |
Quadratic twists by: -4 -3 5 |