Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622q |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-16368292660608 = -1 · 27 · 37 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32643,2286549] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-267:1] |
Generators of the group modulo torsion |
j |
-44852393377/190848 |
j-invariant |
L |
3.2892247333176 |
L(r)(E,1)/r! |
Ω |
0.69911816738557 |
Real period |
R |
1.1762048557376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20874bk1 8946d1 |
Quadratic twists by: -3 -7 |