Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8184d |
Isogeny class |
Conductor |
8184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
311122944 = 210 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80024,-8686596] |
[a1,a2,a3,a4,a6] |
Generators |
[2746:16335:8] |
Generators of the group modulo torsion |
j |
55346472949076068/303831 |
j-invariant |
L |
3.017785238978 |
L(r)(E,1)/r! |
Ω |
0.28385335950349 |
Real period |
R |
5.3157469128719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16368j4 65472t4 24552o4 90024v4 |
Quadratic twists by: -4 8 -3 -11 |