Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8184d |
Isogeny class |
Conductor |
8184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32417282304 = 28 · 32 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5004,-134316] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3960:1] |
Generators of the group modulo torsion |
j |
54140521715152/126630009 |
j-invariant |
L |
3.017785238978 |
L(r)(E,1)/r! |
Ω |
0.56770671900699 |
Real period |
R |
2.6578734564359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16368j2 65472t2 24552o2 90024v2 |
Quadratic twists by: -4 8 -3 -11 |