Atkin-Lehner |
2- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992j |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-752685824 = -1 · 28 · 113 · 472 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59,1289] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:22:1] [8:47:1] |
Generators of the group modulo torsion |
j |
65536/2209 |
j-invariant |
L |
8.4946515681342 |
L(r)(E,1)/r! |
Ω |
1.206694552915 |
Real period |
R |
0.87995047582305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22748a1 90992i1 |
Quadratic twists by: -4 -11 |