Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ck |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
233481852518400 = 215 · 37 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33132,2201744] |
[a1,a2,a3,a4,a6] |
j |
168379496648/9774075 |
j-invariant |
L |
4.3904597244576 |
L(r)(E,1)/r! |
Ω |
0.54880746581582 |
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 |
54720bz4 27360i3 18240j3 |
Quadratic twists by: -4 8 -3 |