Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48950l |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
420664062500 = 22 · 510 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5192,-139284] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:48:1] |
Generators of the group modulo torsion |
j |
990728800209/26922500 |
j-invariant |
L |
3.7174426475178 |
L(r)(E,1)/r! |
Ω |
0.56335554159538 |
Real period |
R |
1.6496876186788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790n1 |
Quadratic twists by: 5 |