Atkin-Lehner |
2+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52706b |
Isogeny class |
Conductor |
52706 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-280870274 = -1 · 2 · 192 · 733 |
Discriminant |
Eigenvalues |
2+ -1 3 -1 -6 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,164,122] |
[a1,a2,a3,a4,a6] |
Generators |
[53:375:1] |
Generators of the group modulo torsion |
j |
1338454943/778034 |
j-invariant |
L |
3.8780340413514 |
L(r)(E,1)/r! |
Ω |
1.0458442335908 |
Real period |
R |
1.236013903667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52706c2 |
Quadratic twists by: -19 |