Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ft |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
62462755550250000 = 24 · 310 · 56 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5553905,5039230097] |
[a1,a2,a3,a4,a6] |
Generators |
[1393:-2754:1] |
Generators of the group modulo torsion |
j |
1663303207415737537/5483698704 |
j-invariant |
L |
11.008778384773 |
L(r)(E,1)/r! |
Ω |
0.3056883150341 |
Real period |
R |
1.1254088153236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001261 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28050x4 3366h3 |
Quadratic twists by: -3 5 |