Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365a |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1147376943744080625 = 36 · 54 · 178 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1314233,-578158152] |
[a1,a2,a3,a4,a6] |
Generators |
[3468641408:86651033371:2097152] |
Generators of the group modulo torsion |
j |
10400346394682041/47534900625 |
j-invariant |
L |
3.6696170683002 |
L(r)(E,1)/r! |
Ω |
0.14104278101537 |
Real period |
R |
13.008879460655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843337 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4845g2 |
Quadratic twists by: 17 |