Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950a |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69312 |
Modular degree for the optimal curve |
Δ |
141151436800 = 219 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11+ 1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9621,-363552] |
[a1,a2,a3,a4,a6] |
Generators |
[-1554:1253:27] |
Generators of the group modulo torsion |
j |
3938940827116465/5646057472 |
j-invariant |
L |
4.0095766106809 |
L(r)(E,1)/r! |
Ω |
0.48210017978779 |
Real period |
R |
4.1584475372218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48950bb1 |
Quadratic twists by: 5 |