Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-20151495976550400 = -1 · 221 · 33 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48575,-5462975] |
[a1,a2,a3,a4,a6] |
j |
48351870250991/76871856600 |
j-invariant |
L |
2.4344440481596 |
L(r)(E,1)/r! |
Ω |
0.20287033821545 |
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 |
73920hi2 2310u2 |
Quadratic twists by: -4 8 |