Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400bf |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-56702187500000000 = -1 · 28 · 513 · 73 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -5 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,74867,-8336863] |
[a1,a2,a3,a4,a6] |
j |
11601902526464/14175546875 |
j-invariant |
L |
1.5128093130292 |
L(r)(E,1)/r! |
Ω |
0.18910116519227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16100e1 12880z1 |
Quadratic twists by: -4 5 |