Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200o |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
58368000000 = 216 · 3 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,23137] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:200:1] |
Generators of the group modulo torsion |
j |
470596/57 |
j-invariant |
L |
3.9092676180014 |
L(r)(E,1)/r! |
Ω |
1.0746841095732 |
Real period |
R |
1.8187984659572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200im1 11400bl1 3648n1 |
Quadratic twists by: -4 8 5 |