Atkin-Lehner |
3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58989r |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1167696 |
Modular degree for the optimal curve |
Δ |
576586992899614221 = 33 · 73 · 538 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2183529,1240634774] |
[a1,a2,a3,a4,a6] |
j |
18492424192/9261 |
j-invariant |
L |
3.4410617593665 |
L(r)(E,1)/r! |
Ω |
0.28675514700045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58989g1 |
Quadratic twists by: 53 |