Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cj |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2675600818176 = -1 · 215 · 3 · 115 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1920,72372] |
[a1,a2,a3,a4,a6] |
j |
1130197991/3865224 |
j-invariant |
L |
5.7330097840926 |
L(r)(E,1)/r! |
Ω |
0.57330097364777 |
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 |
11154v1 89232bx1 |
Quadratic twists by: -4 13 |