Atkin-Lehner |
3+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8901b |
Isogeny class |
Conductor |
8901 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-324895401 = -1 · 33 · 234 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 1 -1 -3 3 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,118,682] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] |
Generators of the group modulo torsion |
j |
6783468957/12033163 |
j-invariant |
L |
2.6746628258901 |
L(r)(E,1)/r! |
Ω |
1.1767475296998 |
Real period |
R |
0.28411604426445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8901a1 |
Quadratic twists by: -3 |