Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712d |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1047262330771734528 = 218 · 33 · 116 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85530828,-304461317520] |
[a1,a2,a3,a4,a6] |
Generators |
[-176591348839425725761706975240:1076495099673448236771225148:33069983561459434661503375] |
Generators of the group modulo torsion |
j |
9776604686860471347243/147962546281 |
j-invariant |
L |
8.6023395752983 |
L(r)(E,1)/r! |
Ω |
0.04964424222778 |
Real period |
R |
43.319925664026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712da2 1683c2 107712t2 |
Quadratic twists by: -4 8 -3 |