Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920eo |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-81962496000000 = -1 · 215 · 33 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11681,656481] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-616:1] |
Generators of the group modulo torsion |
j |
-5379612920648/2501296875 |
j-invariant |
L |
4.666654548899 |
L(r)(E,1)/r! |
Ω |
0.5681528020151 |
Real period |
R |
1.0267164335197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gm2 36960z2 |
Quadratic twists by: -4 8 |