Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jj |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
74520000 = 26 · 34 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 7 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
3515200/1863 |
j-invariant |
L |
9.7665932441902 |
L(r)(E,1)/r! |
Ω |
1.5712357894733 |
Real period |
R |
1.5539668395123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400gw1 55200bz1 110400fp1 |
Quadratic twists by: -4 8 5 |