Atkin-Lehner |
2+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52094f |
Isogeny class |
Conductor |
52094 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
-775367096 = -1 · 23 · 7 · 614 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 4 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77,1333] |
[a1,a2,a3,a4,a6] |
j |
-3721/56 |
j-invariant |
L |
1.3488738515687 |
L(r)(E,1)/r! |
Ω |
1.3488738506451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52094i1 |
Quadratic twists by: 61 |