Atkin-Lehner |
2- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
22448d |
Isogeny class |
Conductor |
22448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-724374512 = -1 · 24 · 233 · 612 |
Discriminant |
Eigenvalues |
2- 3 0 0 4 -5 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-685,-7021] |
[a1,a2,a3,a4,a6] |
Generators |
[1863084:61157197:1728] |
Generators of the group modulo torsion |
j |
-2221648992000/45273407 |
j-invariant |
L |
9.2381670215413 |
L(r)(E,1)/r! |
Ω |
0.46603939019749 |
Real period |
R |
9.9113585845465 |
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 |
5612a1 89792l1 |
Quadratic twists by: -4 8 |