Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722cj |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1206111149181E+34 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-112557693474,-11790893107312236] |
[a1,a2,a3,a4,a6] |
Generators |
[-19230276137788066902310203608726947695:4561277594294925602992492455821291350332:140533245718265705117967815582375] |
Generators of the group modulo torsion |
j |
779828911477214942771/154308452600236032 |
j-invariant |
L |
3.5603141679459 |
L(r)(E,1)/r! |
Ω |
0.0083563297609655 |
Real period |
R |
53.257743976563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574cu2 15246g2 106722ge2 |
Quadratic twists by: -3 -7 -11 |