Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jh |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-32558284800000000 = -1 · 227 · 33 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40833,9230463] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4608:1] |
Generators of the group modulo torsion |
j |
-73530625/317952 |
j-invariant |
L |
9.2298663418034 |
L(r)(E,1)/r! |
Ω |
0.32162744307022 |
Real period |
R |
2.3914486899509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bu1 27600cb1 110400fm1 |
Quadratic twists by: -4 8 5 |