Atkin-Lehner |
2- 3+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544i |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42223867834368 = 212 · 3 · 112 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32752,2270848] |
[a1,a2,a3,a4,a6] |
Generators |
[289689366:17462653390:79507] |
Generators of the group modulo torsion |
j |
948616119380593/10308561483 |
j-invariant |
L |
6.9334011338105 |
L(r)(E,1)/r! |
Ω |
0.64553954150634 |
Real period |
R |
10.740474731623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2409f3 115632be4 |
Quadratic twists by: -4 -3 |