Atkin-Lehner |
2- 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bs |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
Δ |
-3327837512484375000 = -1 · 23 · 38 · 59 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-625352,-209446621] |
[a1,a2,a3,a4,a6] |
j |
-37099594447112534329/4564934859375000 |
j-invariant |
L |
4.5525002534703 |
L(r)(E,1)/r! |
Ω |
0.084305560249482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9570f2 |
Quadratic twists by: -3 |