Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425h |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-2.3691444644344E+22 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 3 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4936367,-8522952334] |
[a1,a2,a3,a4,a6] |
j |
-11578646613825/20620693177 |
j-invariant |
L |
0.76462175611114 |
L(r)(E,1)/r! |
Ω |
0.047788873826674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425bf1 12775b1 |
Quadratic twists by: 5 -7 |