Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bt |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
77009310300404196 = 22 · 312 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2803109,1807026873] |
[a1,a2,a3,a4,a6] |
j |
1886079023633377/59629284 |
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 |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9438e2 2574j2 |
Quadratic twists by: -3 -11 |