Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ff |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
259920000000 = 210 · 32 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2133,29637] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:200:1] [-39:228:1] |
Generators of the group modulo torsion |
j |
67108864/16245 |
j-invariant |
L |
9.0776469152248 |
L(r)(E,1)/r! |
Ω |
0.92264237577082 |
Real period |
R |
1.2298436471126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200dt1 22800dg1 18240cp1 |
Quadratic twists by: -4 8 5 |