Atkin-Lehner |
2- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480bt |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
36454400000000 = 220 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- -4 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26785,-1653183] |
[a1,a2,a3,a4,a6] |
j |
8107275964969/139062500 |
j-invariant |
L |
2.9885957438841 |
L(r)(E,1)/r! |
Ω |
0.37357446798551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480x1 7120l1 |
Quadratic twists by: -4 8 |