Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960m |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
919302870690000 = 24 · 33 · 54 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68439551,217903084824] |
[a1,a2,a3,a4,a6] |
Generators |
[2268488:-20908725:512] |
Generators of the group modulo torsion |
j |
14967807005098080256/388125 |
j-invariant |
L |
7.1714606088771 |
L(r)(E,1)/r! |
Ω |
0.26134016462307 |
Real period |
R |
4.5735160426128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480i1 5520k1 |
Quadratic twists by: -4 -23 |