Atkin-Lehner |
2+ 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450b |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
565585920000000000 = 220 · 32 · 510 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17988025,29357033125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1646:234295:1] |
Generators of the group modulo torsion |
j |
41195916697879355491729/36197498880000 |
j-invariant |
L |
2.8743479345796 |
L(r)(E,1)/r! |
Ω |
0.24329565101303 |
Real period |
R |
2.9535545771536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690r1 |
Quadratic twists by: 5 |