Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720d |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9095120640000000000 = 217 · 39 · 510 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1550988,-729168912] |
[a1,a2,a3,a4,a6] |
j |
159936580505574/3525390625 |
j-invariant |
L |
1.0837272475082 |
L(r)(E,1)/r! |
Ω |
0.13546590605999 |
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 |
54720cs2 6840b2 54720k2 |
Quadratic twists by: -4 8 -3 |