Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320cf |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
174105685440 = 26 · 33 · 5 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1676,-17730] |
[a1,a2,a3,a4,a6] |
Generators |
[2667:24002:27] |
Generators of the group modulo torsion |
j |
8140008920896/2720401335 |
j-invariant |
L |
8.0369352580253 |
L(r)(E,1)/r! |
Ω |
0.76618712417465 |
Real period |
R |
6.9930134160958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bu1 32160s3 |
Quadratic twists by: -4 8 |