Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
48160a |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80712192 |
Modular degree for the optimal curve |
Δ |
-3.664527321875E+24 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 3 -5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97180506781,-11660523790431125] |
[a1,a2,a3,a4,a6] |
Generators |
[26826574460148327611937149486903686307775258287114760819624134321557678239883851082324217208173537537740757902673369592189852214928215034683102451194202781302939947603012397051310590430959751975162258031577733858975:15088446535316688031606083657723007277166289728505109616963958766072514385606010943230570130326378533850025522535262565909841280878265912457794390467374242892634040987921987167428255329948737842258572211730249385245060:49909646689669984629816398146517037978438566170309513726685582882583932151350199484612001960835462021501414113272680969856228855080068342245187365425918387452935148632118401236655974369411152540498210505130759] |
Generators of the group modulo torsion |
j |
-24779996613807566199503104772867584/894659990692138671875 |
j-invariant |
L |
5.6271897452715 |
L(r)(E,1)/r! |
Ω |
0.0042753804708873 |
Real period |
R |
329.04613891028 |
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 |
48160j1 96320u1 |
Quadratic twists by: -4 8 |