Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bo |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
176945172363281250 = 2 · 310 · 512 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1620713,-794035833] |
[a1,a2,a3,a4,a6] |
Generators |
[-5914:6707:8] |
Generators of the group modulo torsion |
j |
30131590037173969609/11324491031250 |
j-invariant |
L |
11.17390185544 |
L(r)(E,1)/r! |
Ω |
0.13380822818945 |
Real period |
R |
4.1753418330998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690c2 |
Quadratic twists by: 5 |