Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22748a |
Isogeny class |
Conductor |
22748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
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 |
[18:77:1] |
Generators of the group modulo torsion |
j |
65536/2209 |
j-invariant |
L |
6.3558063023335 |
L(r)(E,1)/r! |
Ω |
0.77014197705959 |
Real period |
R |
2.0631930512995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992j1 22748b1 |
Quadratic twists by: -4 -11 |