Atkin-Lehner |
2+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85312h |
Isogeny class |
Conductor |
85312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
939114496 = 214 · 31 · 432 |
Discriminant |
Eigenvalues |
2+ 0 2 2 -4 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604,-5520] |
[a1,a2,a3,a4,a6] |
j |
1487354832/57319 |
j-invariant |
L |
0.96531698488173 |
L(r)(E,1)/r! |
Ω |
0.96531700006888 |
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 |
85312q2 5332b2 |
Quadratic twists by: -4 8 |