Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bc |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
55361281250000 = 24 · 59 · 116 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10083,-157412] |
[a1,a2,a3,a4,a6] |
Generators |
[392:7502:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
3.6994673047558 |
L(r)(E,1)/r! |
Ω |
0.50054152132127 |
Real period |
R |
3.6954649585922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200bd1 48400ba1 400f1 |
Quadratic twists by: -4 5 -11 |