Atkin-Lehner |
2- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
3560g |
Isogeny class |
Conductor |
3560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
569600 = 28 · 52 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-740,-8000] |
[a1,a2,a3,a4,a6] |
j |
175293437776/2225 |
j-invariant |
L |
1.830514001555 |
L(r)(E,1)/r! |
Ω |
0.91525700077749 |
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 |
7120g1 28480h1 32040b1 17800d1 |
Quadratic twists by: -4 8 -3 5 |