Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200fh |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-12476160000000 = -1 · 214 · 33 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1967,165937] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-400:1] [-24:323:1] |
Generators of the group modulo torsion |
j |
3286064/48735 |
j-invariant |
L |
8.8485888685086 |
L(r)(E,1)/r! |
Ω |
0.52811280249274 |
Real period |
R |
2.0943889323519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200du1 22800bf1 18240cj1 |
Quadratic twists by: -4 8 5 |