Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770g |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1061559302400 = 28 · 310 · 52 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12735,554125] |
[a1,a2,a3,a4,a6] |
j |
313337384670961/1456185600 |
j-invariant |
L |
1.7565792534621 |
L(r)(E,1)/r! |
Ω |
0.87828962673104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38160bk2 1590p2 23850ct2 |
Quadratic twists by: -4 -3 5 |