Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bt |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9972715656618 = 2 · 39 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44849399,115617924645] |
[a1,a2,a3,a4,a6] |
j |
7725203825376001537/7722 |
j-invariant |
L |
5.1311259653718 |
L(r)(E,1)/r! |
Ω |
0.32069537283571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438e3 2574j3 |
Quadratic twists by: -3 -11 |