Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425s |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4902912 |
Modular degree for the optimal curve |
Δ |
-5357251766357421875 = -1 · 513 · 77 · 732 |
Discriminant |
Eigenvalues |
2 3 5+ 7- -5 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,425075,31974031] |
[a1,a2,a3,a4,a6] |
j |
4620746428416/2914296875 |
j-invariant |
L |
10.794639972127 |
L(r)(E,1)/r! |
Ω |
0.14992555838327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885x1 12775e1 |
Quadratic twists by: 5 -7 |