Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770c |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1669118400 = 26 · 39 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-488445,-131270779] |
[a1,a2,a3,a4,a6] |
j |
654756659970817923/84800 |
j-invariant |
L |
0.36118157841732 |
L(r)(E,1)/r! |
Ω |
0.18059078920866 |
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 |
38160t2 4770v2 23850bv2 |
Quadratic twists by: -4 -3 5 |