Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gl |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
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 |
[-24:27:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
6.0705187281854 |
L(r)(E,1)/r! |
Ω |
0.86626860099217 |
Real period |
R |
1.7519158397353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400cz1 27600z1 110400iv1 |
Quadratic twists by: -4 8 5 |