Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480g |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
59726888960000 = 230 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72801,-7527199] |
[a1,a2,a3,a4,a6] |
j |
162780279643801/227840000 |
j-invariant |
L |
5.2320722330676 |
L(r)(E,1)/r! |
Ω |
0.29067067961492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480bg1 890e1 |
Quadratic twists by: -4 8 |