Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2133356273664000000 = -1 · 219 · 3 · 56 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1550785,-746117183] |
[a1,a2,a3,a4,a6] |
j |
-1573398910560073969/8138108343750 |
j-invariant |
L |
2.4344440481596 |
L(r)(E,1)/r! |
Ω |
0.067623446071818 |
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 |
73920hi4 2310u4 |
Quadratic twists by: -4 8 |