Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bs |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2434614000000000 = 210 · 3 · 59 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33800408,-75647698812] |
[a1,a2,a3,a4,a6] |
Generators |
[171100944:34611986409:4096] |
Generators of the group modulo torsion |
j |
266912903848829942596/152163375 |
j-invariant |
L |
7.5036191848756 |
L(r)(E,1)/r! |
Ω |
0.06261365673047 |
Real period |
R |
14.979997072877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600l4 21840c4 |
Quadratic twists by: -4 5 |