Atkin-Lehner |
2+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522g |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
198912 |
Modular degree for the optimal curve |
Δ |
-3849384925568 = -1 · 27 · 77 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- -3 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5318,176152] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1233:1] |
Generators of the group modulo torsion |
j |
-141339344329/32719232 |
j-invariant |
L |
3.2749567876817 |
L(r)(E,1)/r! |
Ω |
0.74910754318963 |
Real period |
R |
0.54647640670445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646c1 |
Quadratic twists by: -7 |