Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800bk |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
339655680 |
Modular degree for the optimal curve |
Δ |
3.225047265559E+30 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 5 -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7118152075,214397277160250] |
[a1,a2,a3,a4,a6] |
Generators |
[1511272468205031546585541274310871185167059233:164036153620731866391940932452901592937434775552:45019856054071525778479741454833149559053] |
Generators of the group modulo torsion |
j |
623225944950388227633972249/50391363524359094272000 |
j-invariant |
L |
13.24923305622 |
L(r)(E,1)/r! |
Ω |
0.024609140100443 |
Real period |
R |
67.298334085136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850ba1 17360ba1 |
Quadratic twists by: -4 5 |