Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400cz |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
27471052800 = 216 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-993,8703] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:144:1] [-3:108:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
13.077730103299 |
L(r)(E,1)/r! |
Ω |
1.109993426898 |
Real period |
R |
0.4909086916558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400gl1 13800a1 110400ce1 |
Quadratic twists by: -4 8 5 |