Atkin-Lehner |
3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075l |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
6321332636664609375 = 33 · 57 · 710 · 1032 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-919625,-317538750] |
[a1,a2,a3,a4,a6] |
j |
5504738985605316241/404565288746535 |
j-invariant |
L |
1.5488443493988 |
L(r)(E,1)/r! |
Ω |
0.15488443492943 |
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 |
10815k2 |
Quadratic twists by: 5 |